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Finding the Fourth Proportional to 309.42, 464.13 and 78.30

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Solution

The fourth proportional to 309.42, 464.13 and 78.30 is: 117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 464.13 = 78.30 : x
  2. Step 2: Convert to fraction form
    309.42/464.13 = 78.30/x
  3. Step 3: Cross multiply
    309.42x = 464.13 × 78.30
  4. Step 4: Simplify right side
    309.42x = 36,341.38
  5. Step 5: Solve for x
    x = 36,341.38/309.42
  6. Step 6: Final answer
    x = 117.45

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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.