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Finding the Fourth Proportional to 428.72, 591.54 and 242.16

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Solution

The fourth proportional to 428.72, 591.54 and 242.16 is: 334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 591.54 = 242.16 : x
  2. Step 2: Convert to fraction form
    428.72/591.54 = 242.16/x
  3. Step 3: Cross multiply
    428.72x = 591.54 × 242.16
  4. Step 4: Simplify right side
    428.72x = 143,247.33
  5. Step 5: Solve for x
    x = 143,247.33/428.72
  6. Step 6: Final answer
    x = 334.13

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Why These Related Problems?

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