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Finding the Fourth Proportional to 551.44, 761.16 and 469.36

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Solution

The fourth proportional to 551.44, 761.16 and 469.36 is: 647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 761.16 = 469.36 : x
  2. Step 2: Convert to fraction form
    551.44/761.16 = 469.36/x
  3. Step 3: Cross multiply
    551.44x = 761.16 × 469.36
  4. Step 4: Simplify right side
    551.44x = 357,258.06
  5. Step 5: Solve for x
    x = 357,258.06/551.44
  6. Step 6: Final answer
    x = 647.86

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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.