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Finding the Fourth Proportional to 317.38, 437.88 and 207

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Solution

The fourth proportional to 317.38, 437.88 and 207 is: 285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.38 : 437.88 = 207 : x
  2. Step 2: Convert to fraction form
    317.38/437.88 = 207/x
  3. Step 3: Cross multiply
    317.38x = 437.88 × 207
  4. Step 4: Simplify right side
    317.38x = 90,641.16
  5. Step 5: Solve for x
    x = 90,641.16/317.38
  6. Step 6: Final answer
    x = 285.59

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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.