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Finding the Fourth Proportional to 551.16, 824.78 and 475.02

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Solution

The fourth proportional to 551.16, 824.78 and 475.02 is: 710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.16 : 824.78 = 475.02 : x
  2. Step 2: Convert to fraction form
    551.16/824.78 = 475.02/x
  3. Step 3: Cross multiply
    551.16x = 824.78 × 475.02
  4. Step 4: Simplify right side
    551.16x = 391,788.18
  5. Step 5: Solve for x
    x = 391,788.18/551.16
  6. Step 6: Final answer
    x = 710.84

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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.