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Finding the Fourth Proportional to 523.29, 786.15 and 307.02

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Solution

The fourth proportional to 523.29, 786.15 and 307.02 is: 461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 786.15 = 307.02 : x
  2. Step 2: Convert to fraction form
    523.29/786.15 = 307.02/x
  3. Step 3: Cross multiply
    523.29x = 786.15 × 307.02
  4. Step 4: Simplify right side
    523.29x = 241,363.77
  5. Step 5: Solve for x
    x = 241,363.77/523.29
  6. Step 6: Final answer
    x = 461.24

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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.