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Finding the Fourth Proportional to 662.66, 914.47 and 410.70

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Solution

The fourth proportional to 662.66, 914.47 and 410.70 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.66 : 914.47 = 410.70 : x
  2. Step 2: Convert to fraction form
    662.66/914.47 = 410.70/x
  3. Step 3: Cross multiply
    662.66x = 914.47 × 410.70
  4. Step 4: Simplify right side
    662.66x = 375,572.83
  5. Step 5: Solve for x
    x = 375,572.83/662.66
  6. Step 6: Final answer
    x = 566.77

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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.