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Finding the Fourth Proportional to 349.74, 524.68 and 176.52

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Solution

The fourth proportional to 349.74, 524.68 and 176.52 is: 264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.74 : 524.68 = 176.52 : x
  2. Step 2: Convert to fraction form
    349.74/524.68 = 176.52/x
  3. Step 3: Cross multiply
    349.74x = 524.68 × 176.52
  4. Step 4: Simplify right side
    349.74x = 92,616.51
  5. Step 5: Solve for x
    x = 92,616.51/349.74
  6. Step 6: Final answer
    x = 264.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.