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Finding the Fourth Proportional to 428.15, 591.30 and 296.93

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Solution

The fourth proportional to 428.15, 591.30 and 296.93 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.15 : 591.30 = 296.93 : x
  2. Step 2: Convert to fraction form
    428.15/591.30 = 296.93/x
  3. Step 3: Cross multiply
    428.15x = 591.30 × 296.93
  4. Step 4: Simplify right side
    428.15x = 175,574.71
  5. Step 5: Solve for x
    x = 175,574.71/428.15
  6. Step 6: Final answer
    x = 410.08

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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.