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Finding the Fourth Proportional to 515.37, 710.19 and 397.11

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Solution

The fourth proportional to 515.37, 710.19 and 397.11 is: 547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.37 : 710.19 = 397.11 : x
  2. Step 2: Convert to fraction form
    515.37/710.19 = 397.11/x
  3. Step 3: Cross multiply
    515.37x = 710.19 × 397.11
  4. Step 4: Simplify right side
    515.37x = 282,023.55
  5. Step 5: Solve for x
    x = 282,023.55/515.37
  6. Step 6: Final answer
    x = 547.23

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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.