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Finding the Fourth Proportional to 738.13, 1,106.35 and 304.75

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Solution

The fourth proportional to 738.13, 1,106.35 and 304.75 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.13 : 1,106.35 = 304.75 : x
  2. Step 2: Convert to fraction form
    738.13/1,106.35 = 304.75/x
  3. Step 3: Cross multiply
    738.13x = 1,106.35 × 304.75
  4. Step 4: Simplify right side
    738.13x = 337,160.16
  5. Step 5: Solve for x
    x = 337,160.16/738.13
  6. Step 6: Final answer
    x = 456.78

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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.