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Finding the Fourth Proportional to 566.49, 849.06 and 292.71

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Solution

The fourth proportional to 566.49, 849.06 and 292.71 is: 438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 849.06 = 292.71 : x
  2. Step 2: Convert to fraction form
    566.49/849.06 = 292.71/x
  3. Step 3: Cross multiply
    566.49x = 849.06 × 292.71
  4. Step 4: Simplify right side
    566.49x = 248,528.35
  5. Step 5: Solve for x
    x = 248,528.35/566.49
  6. Step 6: Final answer
    x = 438.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.