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Finding the Fourth Proportional to 428.92, 591.54 and 346.12

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Solution

The fourth proportional to 428.92, 591.54 and 346.12 is: 477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.92 : 591.54 = 346.12 : x
  2. Step 2: Convert to fraction form
    428.92/591.54 = 346.12/x
  3. Step 3: Cross multiply
    428.92x = 591.54 × 346.12
  4. Step 4: Simplify right side
    428.92x = 204,743.82
  5. Step 5: Solve for x
    x = 204,743.82/428.92
  6. Step 6: Final answer
    x = 477.35

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Double scale
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1.5x scale

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.