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Finding the Fourth Proportional to 501.30, 691.41 and 435.54

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Solution

The fourth proportional to 501.30, 691.41 and 435.54 is: 600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 691.41 = 435.54 : x
  2. Step 2: Convert to fraction form
    501.30/691.41 = 435.54/x
  3. Step 3: Cross multiply
    501.30x = 691.41 × 435.54
  4. Step 4: Simplify right side
    501.30x = 301,136.71
  5. Step 5: Solve for x
    x = 301,136.71/501.30
  6. Step 6: Final answer
    x = 600.71

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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.