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Finding the Fourth Proportional to 410.36, 614.90 and 364.18

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Solution

The fourth proportional to 410.36, 614.90 and 364.18 is: 545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.36 : 614.90 = 364.18 : x
  2. Step 2: Convert to fraction form
    410.36/614.90 = 364.18/x
  3. Step 3: Cross multiply
    410.36x = 614.90 × 364.18
  4. Step 4: Simplify right side
    410.36x = 223,934.28
  5. Step 5: Solve for x
    x = 223,934.28/410.36
  6. Step 6: Final answer
    x = 545.70

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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.