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Finding the Fourth Proportional to 473.28, 710.40 and 376.08

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Solution

The fourth proportional to 473.28, 710.40 and 376.08 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 710.40 = 376.08 : x
  2. Step 2: Convert to fraction form
    473.28/710.40 = 376.08/x
  3. Step 3: Cross multiply
    473.28x = 710.40 × 376.08
  4. Step 4: Simplify right side
    473.28x = 267,167.23
  5. Step 5: Solve for x
    x = 267,167.23/473.28
  6. Step 6: Final answer
    x = 564.50

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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.