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Finding the Fourth Proportional to 317.52, 437.42 and 299.07

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Solution

The fourth proportional to 317.52, 437.42 and 299.07 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 437.42 = 299.07 : x
  2. Step 2: Convert to fraction form
    317.52/437.42 = 299.07/x
  3. Step 3: Cross multiply
    317.52x = 437.42 × 299.07
  4. Step 4: Simplify right side
    317.52x = 130,819.20
  5. Step 5: Solve for x
    x = 130,819.20/317.52
  6. Step 6: Final answer
    x = 412.00

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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.