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Finding the Fourth Proportional to 610.74, 913.60 and 508.16

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Solution

The fourth proportional to 610.74, 913.60 and 508.16 is: 760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 913.60 = 508.16 : x
  2. Step 2: Convert to fraction form
    610.74/913.60 = 508.16/x
  3. Step 3: Cross multiply
    610.74x = 913.60 × 508.16
  4. Step 4: Simplify right side
    610.74x = 464,257.90
  5. Step 5: Solve for x
    x = 464,257.90/610.74
  6. Step 6: Final answer
    x = 760.16

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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.