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Finding the Fourth Proportional to 582.68, 805.19 and 417.44

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Solution

The fourth proportional to 582.68, 805.19 and 417.44 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.68 : 805.19 = 417.44 : x
  2. Step 2: Convert to fraction form
    582.68/805.19 = 417.44/x
  3. Step 3: Cross multiply
    582.68x = 805.19 × 417.44
  4. Step 4: Simplify right side
    582.68x = 336,112.40
  5. Step 5: Solve for x
    x = 336,112.40/582.68
  6. Step 6: Final answer
    x = 576.84

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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.