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Finding the Fourth Proportional to 708.84, 978.28 and 429.12

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Solution

The fourth proportional to 708.84, 978.28 and 429.12 is: 592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 978.28 = 429.12 : x
  2. Step 2: Convert to fraction form
    708.84/978.28 = 429.12/x
  3. Step 3: Cross multiply
    708.84x = 978.28 × 429.12
  4. Step 4: Simplify right side
    708.84x = 419,799.51
  5. Step 5: Solve for x
    x = 419,799.51/708.84
  6. Step 6: Final answer
    x = 592.23

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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.