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Finding the Fourth Proportional to 569.17, 785.89 and 444.61

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Solution

The fourth proportional to 569.17, 785.89 and 444.61 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.17 : 785.89 = 444.61 : x
  2. Step 2: Convert to fraction form
    569.17/785.89 = 444.61/x
  3. Step 3: Cross multiply
    569.17x = 785.89 × 444.61
  4. Step 4: Simplify right side
    569.17x = 349,411.48
  5. Step 5: Solve for x
    x = 349,411.48/569.17
  6. Step 6: Final answer
    x = 613.90

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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.