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Finding the Fourth Proportional to 346.74, 517.32 and 315.36

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Solution

The fourth proportional to 346.74, 517.32 and 315.36 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.74 : 517.32 = 315.36 : x
  2. Step 2: Convert to fraction form
    346.74/517.32 = 315.36/x
  3. Step 3: Cross multiply
    346.74x = 517.32 × 315.36
  4. Step 4: Simplify right side
    346.74x = 163,142.04
  5. Step 5: Solve for x
    x = 163,142.04/346.74
  6. Step 6: Final answer
    x = 470.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.