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Finding the Fourth Proportional to 309.70, 464.61 and 90.32

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Solution

The fourth proportional to 309.70, 464.61 and 90.32 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 464.61 = 90.32 : x
  2. Step 2: Convert to fraction form
    309.70/464.61 = 90.32/x
  3. Step 3: Cross multiply
    309.70x = 464.61 × 90.32
  4. Step 4: Simplify right side
    309.70x = 41,963.12
  5. Step 5: Solve for x
    x = 41,963.12/309.70
  6. Step 6: Final answer
    x = 135.50

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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.