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Finding the Fourth Proportional to 469.02, 703.52 and 307.73

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Solution

The fourth proportional to 469.02, 703.52 and 307.73 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 703.52 = 307.73 : x
  2. Step 2: Convert to fraction form
    469.02/703.52 = 307.73/x
  3. Step 3: Cross multiply
    469.02x = 703.52 × 307.73
  4. Step 4: Simplify right side
    469.02x = 216,494.21
  5. Step 5: Solve for x
    x = 216,494.21/469.02
  6. Step 6: Final answer
    x = 461.59

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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.