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Finding the Fourth Proportional to 582.75, 803.68 and 416.61

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Solution

The fourth proportional to 582.75, 803.68 and 416.61 is: 574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 803.68 = 416.61 : x
  2. Step 2: Convert to fraction form
    582.75/803.68 = 416.61/x
  3. Step 3: Cross multiply
    582.75x = 803.68 × 416.61
  4. Step 4: Simplify right side
    582.75x = 334,820.08
  5. Step 5: Solve for x
    x = 334,820.08/582.75
  6. Step 6: Final answer
    x = 574.55

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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.