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Finding the Fourth Proportional to 473.76, 710.46 and 278.64

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Solution

The fourth proportional to 473.76, 710.46 and 278.64 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 710.46 = 278.64 : x
  2. Step 2: Convert to fraction form
    473.76/710.46 = 278.64/x
  3. Step 3: Cross multiply
    473.76x = 710.46 × 278.64
  4. Step 4: Simplify right side
    473.76x = 197,962.57
  5. Step 5: Solve for x
    x = 197,962.57/473.76
  6. Step 6: Final answer
    x = 417.85

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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.