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Finding the Fourth Proportional to 336, 463.74 and 237.90

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Solution

The fourth proportional to 336, 463.74 and 237.90 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 463.74 = 237.90 : x
  2. Step 2: Convert to fraction form
    336/463.74 = 237.90/x
  3. Step 3: Cross multiply
    336x = 463.74 × 237.90
  4. Step 4: Simplify right side
    336x = 110,323.75
  5. Step 5: Solve for x
    x = 110,323.75/336
  6. Step 6: Final answer
    x = 328.34

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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.