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Finding the Fourth Proportional to 915, 1,372.50 and 307

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Solution

The fourth proportional to 915, 1,372.50 and 307 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    915 : 1,372.50 = 307 : x
  2. Step 2: Convert to fraction form
    915/1,372.50 = 307/x
  3. Step 3: Cross multiply
    915x = 1,372.50 × 307
  4. Step 4: Simplify right side
    915x = 421,357.50
  5. Step 5: Solve for x
    x = 421,357.50/915
  6. Step 6: Final answer
    x = 460.50

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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.