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Finding the Fourth Proportional to 580.54, 870.18 and 364.18

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Solution

The fourth proportional to 580.54, 870.18 and 364.18 is: 545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 870.18 = 364.18 : x
  2. Step 2: Convert to fraction form
    580.54/870.18 = 364.18/x
  3. Step 3: Cross multiply
    580.54x = 870.18 × 364.18
  4. Step 4: Simplify right side
    580.54x = 316,902.15
  5. Step 5: Solve for x
    x = 316,902.15/580.54
  6. Step 6: Final answer
    x = 545.87

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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.