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Finding the Fourth Proportional to 501.66, 691.34 and 354.24

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Solution

The fourth proportional to 501.66, 691.34 and 354.24 is: 488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 691.34 = 354.24 : x
  2. Step 2: Convert to fraction form
    501.66/691.34 = 354.24/x
  3. Step 3: Cross multiply
    501.66x = 691.34 × 354.24
  4. Step 4: Simplify right side
    501.66x = 244,898.51
  5. Step 5: Solve for x
    x = 244,898.51/501.66
  6. Step 6: Final answer
    x = 488.18

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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.