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Finding the Fourth Proportional to 466.13, 699.53 and 312.35

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Solution

The fourth proportional to 466.13, 699.53 and 312.35 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.13 : 699.53 = 312.35 : x
  2. Step 2: Convert to fraction form
    466.13/699.53 = 312.35/x
  3. Step 3: Cross multiply
    466.13x = 699.53 × 312.35
  4. Step 4: Simplify right side
    466.13x = 218,498.20
  5. Step 5: Solve for x
    x = 218,498.20/466.13
  6. Step 6: Final answer
    x = 468.75

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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.