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Finding the Fourth Proportional to 583.09, 804.68 and 317.53

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Solution

The fourth proportional to 583.09, 804.68 and 317.53 is: 438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.09 : 804.68 = 317.53 : x
  2. Step 2: Convert to fraction form
    583.09/804.68 = 317.53/x
  3. Step 3: Cross multiply
    583.09x = 804.68 × 317.53
  4. Step 4: Simplify right side
    583.09x = 255,510.04
  5. Step 5: Solve for x
    x = 255,510.04/583.09
  6. Step 6: Final answer
    x = 438.20

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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.