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Finding the Fourth Proportional to 500.30, 689.96 and 313.74

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Solution

The fourth proportional to 500.30, 689.96 and 313.74 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.30 : 689.96 = 313.74 : x
  2. Step 2: Convert to fraction form
    500.30/689.96 = 313.74/x
  3. Step 3: Cross multiply
    500.30x = 689.96 × 313.74
  4. Step 4: Simplify right side
    500.30x = 216,468.05
  5. Step 5: Solve for x
    x = 216,468.05/500.30
  6. Step 6: Final answer
    x = 432.68

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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.