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Finding the Fourth Proportional to 610.64, 914.52 and 465.20

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Solution

The fourth proportional to 610.64, 914.52 and 465.20 is: 696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.64 : 914.52 = 465.20 : x
  2. Step 2: Convert to fraction form
    610.64/914.52 = 465.20/x
  3. Step 3: Cross multiply
    610.64x = 914.52 × 465.20
  4. Step 4: Simplify right side
    610.64x = 425,434.70
  5. Step 5: Solve for x
    x = 425,434.70/610.64
  6. Step 6: Final answer
    x = 696.70

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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.