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Finding the Fourth Proportional to 523.66, 785.33 and 342.02

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Solution

The fourth proportional to 523.66, 785.33 and 342.02 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.66 : 785.33 = 342.02 : x
  2. Step 2: Convert to fraction form
    523.66/785.33 = 342.02/x
  3. Step 3: Cross multiply
    523.66x = 785.33 × 342.02
  4. Step 4: Simplify right side
    523.66x = 268,595.49
  5. Step 5: Solve for x
    x = 268,595.49/523.66
  6. Step 6: Final answer
    x = 512.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.