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Finding the Fourth Proportional to 499.22, 752.57 and 465.77

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Solution

The fourth proportional to 499.22, 752.57 and 465.77 is: 702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 752.57 = 465.77 : x
  2. Step 2: Convert to fraction form
    499.22/752.57 = 465.77/x
  3. Step 3: Cross multiply
    499.22x = 752.57 × 465.77
  4. Step 4: Simplify right side
    499.22x = 350,527.57
  5. Step 5: Solve for x
    x = 350,527.57/499.22
  6. Step 6: Final answer
    x = 702.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.