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Finding the Fourth Proportional to 661.52, 992.21 and 417.30

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Solution

The fourth proportional to 661.52, 992.21 and 417.30 is: 625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 992.21 = 417.30 : x
  2. Step 2: Convert to fraction form
    661.52/992.21 = 417.30/x
  3. Step 3: Cross multiply
    661.52x = 992.21 × 417.30
  4. Step 4: Simplify right side
    661.52x = 414,047.15
  5. Step 5: Solve for x
    x = 414,047.15/661.52
  6. Step 6: Final answer
    x = 625.91

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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.