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Finding the Fourth Proportional to 569.41, 852.48 and 482.74

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Solution

The fourth proportional to 569.41, 852.48 and 482.74 is: 722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.41 : 852.48 = 482.74 : x
  2. Step 2: Convert to fraction form
    569.41/852.48 = 482.74/x
  3. Step 3: Cross multiply
    569.41x = 852.48 × 482.74
  4. Step 4: Simplify right side
    569.41x = 411,526.20
  5. Step 5: Solve for x
    x = 411,526.20/569.41
  6. Step 6: Final answer
    x = 722.72

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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.