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Finding the Fourth Proportional to 364.35, 545.15 and 296.01

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Solution

The fourth proportional to 364.35, 545.15 and 296.01 is: 442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.35 : 545.15 = 296.01 : x
  2. Step 2: Convert to fraction form
    364.35/545.15 = 296.01/x
  3. Step 3: Cross multiply
    364.35x = 545.15 × 296.01
  4. Step 4: Simplify right side
    364.35x = 161,367.13
  5. Step 5: Solve for x
    x = 161,367.13/364.35
  6. Step 6: Final answer
    x = 442.90

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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.