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Finding the Fourth Proportional to 569.12, 852.56 and 424.96

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Solution

The fourth proportional to 569.12, 852.56 and 424.96 is: 636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 852.56 = 424.96 : x
  2. Step 2: Convert to fraction form
    569.12/852.56 = 424.96/x
  3. Step 3: Cross multiply
    569.12x = 852.56 × 424.96
  4. Step 4: Simplify right side
    569.12x = 362,303.90
  5. Step 5: Solve for x
    x = 362,303.90/569.12
  6. Step 6: Final answer
    x = 636.60

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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.