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Finding the Fourth Proportional to 580.62, 870.64 and 337.20

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Solution

The fourth proportional to 580.62, 870.64 and 337.20 is: 505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.62 : 870.64 = 337.20 : x
  2. Step 2: Convert to fraction form
    580.62/870.64 = 337.20/x
  3. Step 3: Cross multiply
    580.62x = 870.64 × 337.20
  4. Step 4: Simplify right side
    580.62x = 293,579.81
  5. Step 5: Solve for x
    x = 293,579.81/580.62
  6. Step 6: Final answer
    x = 505.63

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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.