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Finding the Fourth Proportional to 523.47, 785.05 and 341.83

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Solution

The fourth proportional to 523.47, 785.05 and 341.83 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 785.05 = 341.83 : x
  2. Step 2: Convert to fraction form
    523.47/785.05 = 341.83/x
  3. Step 3: Cross multiply
    523.47x = 785.05 × 341.83
  4. Step 4: Simplify right side
    523.47x = 268,349.35
  5. Step 5: Solve for x
    x = 268,349.35/523.47
  6. Step 6: Final answer
    x = 512.64

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