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Finding the Fourth Proportional to 551.76, 762 and 465.12

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Solution

The fourth proportional to 551.76, 762 and 465.12 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 762 = 465.12 : x
  2. Step 2: Convert to fraction form
    551.76/762 = 465.12/x
  3. Step 3: Cross multiply
    551.76x = 762 × 465.12
  4. Step 4: Simplify right side
    551.76x = 354,421.44
  5. Step 5: Solve for x
    x = 354,421.44/551.76
  6. Step 6: Final answer
    x = 642.35

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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.