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Finding the Fourth Proportional to 760.20, 1,138.38 and 417.48

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Solution

The fourth proportional to 760.20, 1,138.38 and 417.48 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,138.38 = 417.48 : x
  2. Step 2: Convert to fraction form
    760.20/1,138.38 = 417.48/x
  3. Step 3: Cross multiply
    760.20x = 1,138.38 × 417.48
  4. Step 4: Simplify right side
    760.20x = 475,250.88
  5. Step 5: Solve for x
    x = 475,250.88/760.20
  6. Step 6: Final answer
    x = 625.17

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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.