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Finding the Fourth Proportional to 582.77, 804.22 and 317.21

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Solution

The fourth proportional to 582.77, 804.22 and 317.21 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.77 : 804.22 = 317.21 : x
  2. Step 2: Convert to fraction form
    582.77/804.22 = 317.21/x
  3. Step 3: Cross multiply
    582.77x = 804.22 × 317.21
  4. Step 4: Simplify right side
    582.77x = 255,103.32
  5. Step 5: Solve for x
    x = 255,103.32/582.77
  6. Step 6: Final answer
    x = 437.74

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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.