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Finding the Fourth Proportional to 710.44, 978.85 and 477.16

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Solution

The fourth proportional to 710.44, 978.85 and 477.16 is: 657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.44 : 978.85 = 477.16 : x
  2. Step 2: Convert to fraction form
    710.44/978.85 = 477.16/x
  3. Step 3: Cross multiply
    710.44x = 978.85 × 477.16
  4. Step 4: Simplify right side
    710.44x = 467,068.07
  5. Step 5: Solve for x
    x = 467,068.07/710.44
  6. Step 6: Final answer
    x = 657.43

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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.