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Finding the Fourth Proportional to 566.97, 783.18 and 469.92

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Solution

The fourth proportional to 566.97, 783.18 and 469.92 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.97 : 783.18 = 469.92 : x
  2. Step 2: Convert to fraction form
    566.97/783.18 = 469.92/x
  3. Step 3: Cross multiply
    566.97x = 783.18 × 469.92
  4. Step 4: Simplify right side
    566.97x = 368,031.95
  5. Step 5: Solve for x
    x = 368,031.95/566.97
  6. Step 6: Final answer
    x = 649.12

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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.