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Finding the Fourth Proportional to 474.71, 710.86 and 397.48

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Solution

The fourth proportional to 474.71, 710.86 and 397.48 is: 595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 710.86 = 397.48 : x
  2. Step 2: Convert to fraction form
    474.71/710.86 = 397.48/x
  3. Step 3: Cross multiply
    474.71x = 710.86 × 397.48
  4. Step 4: Simplify right side
    474.71x = 282,552.63
  5. Step 5: Solve for x
    x = 282,552.63/474.71
  6. Step 6: Final answer
    x = 595.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.