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Finding the Fourth Proportional to 468.19, 703.64 and 306.88

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Solution

The fourth proportional to 468.19, 703.64 and 306.88 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 703.64 = 306.88 : x
  2. Step 2: Convert to fraction form
    468.19/703.64 = 306.88/x
  3. Step 3: Cross multiply
    468.19x = 703.64 × 306.88
  4. Step 4: Simplify right side
    468.19x = 215,931.51
  5. Step 5: Solve for x
    x = 215,931.51/468.19
  6. Step 6: Final answer
    x = 461.20

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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.