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Finding the Fourth Proportional to 641.52, 883.80 and 524.40

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Solution

The fourth proportional to 641.52, 883.80 and 524.40 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.52 : 883.80 = 524.40 : x
  2. Step 2: Convert to fraction form
    641.52/883.80 = 524.40/x
  3. Step 3: Cross multiply
    641.52x = 883.80 × 524.40
  4. Step 4: Simplify right side
    641.52x = 463,464.72
  5. Step 5: Solve for x
    x = 463,464.72/641.52
  6. Step 6: Final answer
    x = 722.45

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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.