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Finding the Fourth Proportional to 582.18, 803.50 and 416.94

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Solution

The fourth proportional to 582.18, 803.50 and 416.94 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 803.50 = 416.94 : x
  2. Step 2: Convert to fraction form
    582.18/803.50 = 416.94/x
  3. Step 3: Cross multiply
    582.18x = 803.50 × 416.94
  4. Step 4: Simplify right side
    582.18x = 335,011.29
  5. Step 5: Solve for x
    x = 335,011.29/582.18
  6. Step 6: Final answer
    x = 575.44

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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.