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Finding the Fourth Proportional to 582.79, 803.46 and 416.72

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Solution

The fourth proportional to 582.79, 803.46 and 416.72 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.79 : 803.46 = 416.72 : x
  2. Step 2: Convert to fraction form
    582.79/803.46 = 416.72/x
  3. Step 3: Cross multiply
    582.79x = 803.46 × 416.72
  4. Step 4: Simplify right side
    582.79x = 334,817.85
  5. Step 5: Solve for x
    x = 334,817.85/582.79
  6. Step 6: Final answer
    x = 574.51

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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.