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Finding the Fourth Proportional to 591.30, 815.28 and 460.08

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Solution

The fourth proportional to 591.30, 815.28 and 460.08 is: 634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 815.28 = 460.08 : x
  2. Step 2: Convert to fraction form
    591.30/815.28 = 460.08/x
  3. Step 3: Cross multiply
    591.30x = 815.28 × 460.08
  4. Step 4: Simplify right side
    591.30x = 375,094.02
  5. Step 5: Solve for x
    x = 375,094.02/591.30
  6. Step 6: Final answer
    x = 634.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.