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Finding the Fourth Proportional to 708.32, 977.34 and 428.50

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Solution

The fourth proportional to 708.32, 977.34 and 428.50 is: 591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 977.34 = 428.50 : x
  2. Step 2: Convert to fraction form
    708.32/977.34 = 428.50/x
  3. Step 3: Cross multiply
    708.32x = 977.34 × 428.50
  4. Step 4: Simplify right side
    708.32x = 418,789.80
  5. Step 5: Solve for x
    x = 418,789.80/708.32
  6. Step 6: Final answer
    x = 591.24

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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.