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Finding the Fourth Proportional to 708.65, 977.86 and 429

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Solution

The fourth proportional to 708.65, 977.86 and 429 is: 591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.65 : 977.86 = 429 : x
  2. Step 2: Convert to fraction form
    708.65/977.86 = 429/x
  3. Step 3: Cross multiply
    708.65x = 977.86 × 429
  4. Step 4: Simplify right side
    708.65x = 419,501.94
  5. Step 5: Solve for x
    x = 419,501.94/708.65
  6. Step 6: Final answer
    x = 591.97

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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.