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Finding the Fourth Proportional to 364.03, 545.10 and 309.04

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Solution

The fourth proportional to 364.03, 545.10 and 309.04 is: 462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.03 : 545.10 = 309.04 : x
  2. Step 2: Convert to fraction form
    364.03/545.10 = 309.04/x
  3. Step 3: Cross multiply
    364.03x = 545.10 × 309.04
  4. Step 4: Simplify right side
    364.03x = 168,457.70
  5. Step 5: Solve for x
    x = 168,457.70/364.03
  6. Step 6: Final answer
    x = 462.76

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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.