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Finding the Fourth Proportional to 538.47, 807.33 and 278.36

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Solution

The fourth proportional to 538.47, 807.33 and 278.36 is: 417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 807.33 = 278.36 : x
  2. Step 2: Convert to fraction form
    538.47/807.33 = 278.36/x
  3. Step 3: Cross multiply
    538.47x = 807.33 × 278.36
  4. Step 4: Simplify right side
    538.47x = 224,728.38
  5. Step 5: Solve for x
    x = 224,728.38/538.47
  6. Step 6: Final answer
    x = 417.35

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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.