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Finding the Fourth Proportional to 582.59, 803.72 and 416.95

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Solution

The fourth proportional to 582.59, 803.72 and 416.95 is: 575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.59 : 803.72 = 416.95 : x
  2. Step 2: Convert to fraction form
    582.59/803.72 = 416.95/x
  3. Step 3: Cross multiply
    582.59x = 803.72 × 416.95
  4. Step 4: Simplify right side
    582.59x = 335,110.09
  5. Step 5: Solve for x
    x = 335,110.09/582.59
  6. Step 6: Final answer
    x = 575.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.