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Finding the Fourth Proportional to 410, 611.38 and 380.24

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Solution

The fourth proportional to 410, 611.38 and 380.24 is: 567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 611.38 = 380.24 : x
  2. Step 2: Convert to fraction form
    410/611.38 = 380.24/x
  3. Step 3: Cross multiply
    410x = 611.38 × 380.24
  4. Step 4: Simplify right side
    410x = 232,471.13
  5. Step 5: Solve for x
    x = 232,471.13/410
  6. Step 6: Final answer
    x = 567.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.