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Finding the Fourth Proportional to 512.66, 766.88 and 469.01

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Solution

The fourth proportional to 512.66, 766.88 and 469.01 is: 701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 766.88 = 469.01 : x
  2. Step 2: Convert to fraction form
    512.66/766.88 = 469.01/x
  3. Step 3: Cross multiply
    512.66x = 766.88 × 469.01
  4. Step 4: Simplify right side
    512.66x = 359,672.04
  5. Step 5: Solve for x
    x = 359,672.04/512.66
  6. Step 6: Final answer
    x = 701.58

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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.