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Finding the Fourth Proportional to 312.19, 430.56 and 265.70

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Solution

The fourth proportional to 312.19, 430.56 and 265.70 is: 366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 430.56 = 265.70 : x
  2. Step 2: Convert to fraction form
    312.19/430.56 = 265.70/x
  3. Step 3: Cross multiply
    312.19x = 430.56 × 265.70
  4. Step 4: Simplify right side
    312.19x = 114,400.87
  5. Step 5: Solve for x
    x = 114,400.87/312.19
  6. Step 6: Final answer
    x = 366.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.