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Finding the Fourth Proportional to 500.68, 689.40 and 438.15

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Solution

The fourth proportional to 500.68, 689.40 and 438.15 is: 603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 689.40 = 438.15 : x
  2. Step 2: Convert to fraction form
    500.68/689.40 = 438.15/x
  3. Step 3: Cross multiply
    500.68x = 689.40 × 438.15
  4. Step 4: Simplify right side
    500.68x = 302,060.61
  5. Step 5: Solve for x
    x = 302,060.61/500.68
  6. Step 6: Final answer
    x = 603.30

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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.