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Finding the Fourth Proportional to 915.67, 1,373.07 and 338.14

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Solution

The fourth proportional to 915.67, 1,373.07 and 338.14 is: 507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.67 : 1,373.07 = 338.14 : x
  2. Step 2: Convert to fraction form
    915.67/1,373.07 = 338.14/x
  3. Step 3: Cross multiply
    915.67x = 1,373.07 × 338.14
  4. Step 4: Simplify right side
    915.67x = 464,289.89
  5. Step 5: Solve for x
    x = 464,289.89/915.67
  6. Step 6: Final answer
    x = 507.05

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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.