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Finding the Fourth Proportional to 925.05, 1,387.87 and 340.23

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Solution

The fourth proportional to 925.05, 1,387.87 and 340.23 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.05 : 1,387.87 = 340.23 : x
  2. Step 2: Convert to fraction form
    925.05/1,387.87 = 340.23/x
  3. Step 3: Cross multiply
    925.05x = 1,387.87 × 340.23
  4. Step 4: Simplify right side
    925.05x = 472,199.36
  5. Step 5: Solve for x
    x = 472,199.36/925.05
  6. Step 6: Final answer
    x = 510.46

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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.