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Finding the Fourth Proportional to 309.70, 464.16 and 277.02

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Solution

The fourth proportional to 309.70, 464.16 and 277.02 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 464.16 = 277.02 : x
  2. Step 2: Convert to fraction form
    309.70/464.16 = 277.02/x
  3. Step 3: Cross multiply
    309.70x = 464.16 × 277.02
  4. Step 4: Simplify right side
    309.70x = 128,581.60
  5. Step 5: Solve for x
    x = 128,581.60/309.70
  6. Step 6: Final answer
    x = 415.18

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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.