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Finding the Fourth Proportional to 523.74, 785.10 and 341.26

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Solution

The fourth proportional to 523.74, 785.10 and 341.26 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.10 = 341.26 : x
  2. Step 2: Convert to fraction form
    523.74/785.10 = 341.26/x
  3. Step 3: Cross multiply
    523.74x = 785.10 × 341.26
  4. Step 4: Simplify right side
    523.74x = 267,925.28
  5. Step 5: Solve for x
    x = 267,925.28/523.74
  6. Step 6: Final answer
    x = 511.56

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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.