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Finding the Fourth Proportional to 468.32, 701.34 and 305.10

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Solution

The fourth proportional to 468.32, 701.34 and 305.10 is: 456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 701.34 = 305.10 : x
  2. Step 2: Convert to fraction form
    468.32/701.34 = 305.10/x
  3. Step 3: Cross multiply
    468.32x = 701.34 × 305.10
  4. Step 4: Simplify right side
    468.32x = 213,978.83
  5. Step 5: Solve for x
    x = 213,978.83/468.32
  6. Step 6: Final answer
    x = 456.91

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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.