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Finding the Fourth Proportional to 937.95, 1,407.17 and 288.66

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Solution

The fourth proportional to 937.95, 1,407.17 and 288.66 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.95 : 1,407.17 = 288.66 : x
  2. Step 2: Convert to fraction form
    937.95/1,407.17 = 288.66/x
  3. Step 3: Cross multiply
    937.95x = 1,407.17 × 288.66
  4. Step 4: Simplify right side
    937.95x = 406,199.69
  5. Step 5: Solve for x
    x = 406,199.69/937.95
  6. Step 6: Final answer
    x = 433.07

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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.