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Finding the Fourth Proportional to 760.05, 1,140.08 and 349.25

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Solution

The fourth proportional to 760.05, 1,140.08 and 349.25 is: 523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.05 : 1,140.08 = 349.25 : x
  2. Step 2: Convert to fraction form
    760.05/1,140.08 = 349.25/x
  3. Step 3: Cross multiply
    760.05x = 1,140.08 × 349.25
  4. Step 4: Simplify right side
    760.05x = 398,165.49
  5. Step 5: Solve for x
    x = 398,165.49/760.05
  6. Step 6: Final answer
    x = 523.87

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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.