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Finding the Fourth Proportional to 582.97, 804.50 and 317.42

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Solution

The fourth proportional to 582.97, 804.50 and 317.42 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 804.50 = 317.42 : x
  2. Step 2: Convert to fraction form
    582.97/804.50 = 317.42/x
  3. Step 3: Cross multiply
    582.97x = 804.50 × 317.42
  4. Step 4: Simplify right side
    582.97x = 255,360.37
  5. Step 5: Solve for x
    x = 255,360.37/582.97
  6. Step 6: Final answer
    x = 438.03

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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.