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Finding the Fourth Proportional to 522.76, 721.40 and 301.71

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Solution

The fourth proportional to 522.76, 721.40 and 301.71 is: 416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.76 : 721.40 = 301.71 : x
  2. Step 2: Convert to fraction form
    522.76/721.40 = 301.71/x
  3. Step 3: Cross multiply
    522.76x = 721.40 × 301.71
  4. Step 4: Simplify right side
    522.76x = 217,653.59
  5. Step 5: Solve for x
    x = 217,653.59/522.76
  6. Step 6: Final answer
    x = 416.35

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Find fourth proportional to 261.38, 360.70 and 150.86
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.