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Finding the Fourth Proportional to 708.64, 978.74 and 472.19

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Solution

The fourth proportional to 708.64, 978.74 and 472.19 is: 652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 978.74 = 472.19 : x
  2. Step 2: Convert to fraction form
    708.64/978.74 = 472.19/x
  3. Step 3: Cross multiply
    708.64x = 978.74 × 472.19
  4. Step 4: Simplify right side
    708.64x = 462,151.33
  5. Step 5: Solve for x
    x = 462,151.33/708.64
  6. Step 6: Final answer
    x = 652.17

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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.