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Finding the Fourth Proportional to 292.59, 435.70 and 289.36

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Solution

The fourth proportional to 292.59, 435.70 and 289.36 is: 430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 435.70 = 289.36 : x
  2. Step 2: Convert to fraction form
    292.59/435.70 = 289.36/x
  3. Step 3: Cross multiply
    292.59x = 435.70 × 289.36
  4. Step 4: Simplify right side
    292.59x = 126,072.61
  5. Step 5: Solve for x
    x = 126,072.61/292.59
  6. Step 6: Final answer
    x = 430.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.