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Finding the Fourth Proportional to 460.56, 689.40 and 306.16

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Solution

The fourth proportional to 460.56, 689.40 and 306.16 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 689.40 = 306.16 : x
  2. Step 2: Convert to fraction form
    460.56/689.40 = 306.16/x
  3. Step 3: Cross multiply
    460.56x = 689.40 × 306.16
  4. Step 4: Simplify right side
    460.56x = 211,066.70
  5. Step 5: Solve for x
    x = 211,066.70/460.56
  6. Step 6: Final answer
    x = 458.28

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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.