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Finding the Fourth Proportional to 582.77, 804.20 and 317.19

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Solution

The fourth proportional to 582.77, 804.20 and 317.19 is: 437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.77 : 804.20 = 317.19 : x
  2. Step 2: Convert to fraction form
    582.77/804.20 = 317.19/x
  3. Step 3: Cross multiply
    582.77x = 804.20 × 317.19
  4. Step 4: Simplify right side
    582.77x = 255,082.61
  5. Step 5: Solve for x
    x = 255,082.61/582.77
  6. Step 6: Final answer
    x = 437.71

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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.