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Finding the Fourth Proportional to 538.21, 807.17 and 278.07

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Solution

The fourth proportional to 538.21, 807.17 and 278.07 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 807.17 = 278.07 : x
  2. Step 2: Convert to fraction form
    538.21/807.17 = 278.07/x
  3. Step 3: Cross multiply
    538.21x = 807.17 × 278.07
  4. Step 4: Simplify right side
    538.21x = 224,445.34
  5. Step 5: Solve for x
    x = 224,445.34/538.21
  6. Step 6: Final answer
    x = 417.02

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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.