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Finding the Fourth Proportional to 306.35, 459.55 and 87.00

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Solution

The fourth proportional to 306.35, 459.55 and 87.00 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.35 : 459.55 = 87.00 : x
  2. Step 2: Convert to fraction form
    306.35/459.55 = 87.00/x
  3. Step 3: Cross multiply
    306.35x = 459.55 × 87.00
  4. Step 4: Simplify right side
    306.35x = 39,979.24
  5. Step 5: Solve for x
    x = 39,979.24/306.35
  6. Step 6: Final answer
    x = 130.50

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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.