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Finding the Fourth Proportional to 337.60, 507.60 and 284.80

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Solution

The fourth proportional to 337.60, 507.60 and 284.80 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 507.60 = 284.80 : x
  2. Step 2: Convert to fraction form
    337.60/507.60 = 284.80/x
  3. Step 3: Cross multiply
    337.60x = 507.60 × 284.80
  4. Step 4: Simplify right side
    337.60x = 144,564.48
  5. Step 5: Solve for x
    x = 144,564.48/337.60
  6. Step 6: Final answer
    x = 428.21

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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.