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Finding the Fourth Proportional to 583, 804.52 and 362

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Solution

The fourth proportional to 583, 804.52 and 362 is: 499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583 : 804.52 = 362 : x
  2. Step 2: Convert to fraction form
    583/804.52 = 362/x
  3. Step 3: Cross multiply
    583x = 804.52 × 362
  4. Step 4: Simplify right side
    583x = 291,236.24
  5. Step 5: Solve for x
    x = 291,236.24/583
  6. Step 6: Final answer
    x = 499.55

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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.