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Finding the Fourth Proportional to 491.07, 736.45 and 353.71

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Solution

The fourth proportional to 491.07, 736.45 and 353.71 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.07 : 736.45 = 353.71 : x
  2. Step 2: Convert to fraction form
    491.07/736.45 = 353.71/x
  3. Step 3: Cross multiply
    491.07x = 736.45 × 353.71
  4. Step 4: Simplify right side
    491.07x = 260,489.73
  5. Step 5: Solve for x
    x = 260,489.73/491.07
  6. Step 6: Final answer
    x = 530.45

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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.