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Finding the Fourth Proportional to 317.04, 474.86 and 309.30

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Solution

The fourth proportional to 317.04, 474.86 and 309.30 is: 463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 474.86 = 309.30 : x
  2. Step 2: Convert to fraction form
    317.04/474.86 = 309.30/x
  3. Step 3: Cross multiply
    317.04x = 474.86 × 309.30
  4. Step 4: Simplify right side
    317.04x = 146,874.20
  5. Step 5: Solve for x
    x = 146,874.20/317.04
  6. Step 6: Final answer
    x = 463.27

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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.