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Finding the Fourth Proportional to 523.74, 785 and 307.46

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Solution

The fourth proportional to 523.74, 785 and 307.46 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785 = 307.46 : x
  2. Step 2: Convert to fraction form
    523.74/785 = 307.46/x
  3. Step 3: Cross multiply
    523.74x = 785 × 307.46
  4. Step 4: Simplify right side
    523.74x = 241,356.10
  5. Step 5: Solve for x
    x = 241,356.10/523.74
  6. Step 6: Final answer
    x = 460.83

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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.