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Finding the Fourth Proportional to 473.69, 710.54 and 378.11

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Solution

The fourth proportional to 473.69, 710.54 and 378.11 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 710.54 = 378.11 : x
  2. Step 2: Convert to fraction form
    473.69/710.54 = 378.11/x
  3. Step 3: Cross multiply
    473.69x = 710.54 × 378.11
  4. Step 4: Simplify right side
    473.69x = 268,663.58
  5. Step 5: Solve for x
    x = 268,663.58/473.69
  6. Step 6: Final answer
    x = 567.17

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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.