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Finding the Fourth Proportional to 306.58, 459.72 and 98.32

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Solution

The fourth proportional to 306.58, 459.72 and 98.32 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 459.72 = 98.32 : x
  2. Step 2: Convert to fraction form
    306.58/459.72 = 98.32/x
  3. Step 3: Cross multiply
    306.58x = 459.72 × 98.32
  4. Step 4: Simplify right side
    306.58x = 45,199.18
  5. Step 5: Solve for x
    x = 45,199.18/306.58
  6. Step 6: Final answer
    x = 147.43

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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.