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Finding the Fourth Proportional to 537.95, 807.66 and 278.16

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Solution

The fourth proportional to 537.95, 807.66 and 278.16 is: 417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.95 : 807.66 = 278.16 : x
  2. Step 2: Convert to fraction form
    537.95/807.66 = 278.16/x
  3. Step 3: Cross multiply
    537.95x = 807.66 × 278.16
  4. Step 4: Simplify right side
    537.95x = 224,658.71
  5. Step 5: Solve for x
    x = 224,658.71/537.95
  6. Step 6: Final answer
    x = 417.62

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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.