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Finding the Fourth Proportional to 569.60, 853.04 and 432.48

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Solution

The fourth proportional to 569.60, 853.04 and 432.48 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 853.04 = 432.48 : x
  2. Step 2: Convert to fraction form
    569.60/853.04 = 432.48/x
  3. Step 3: Cross multiply
    569.60x = 853.04 × 432.48
  4. Step 4: Simplify right side
    569.60x = 368,922.74
  5. Step 5: Solve for x
    x = 368,922.74/569.60
  6. Step 6: Final answer
    x = 647.69

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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.