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Finding the Fourth Proportional to 434.64, 651.66 and 288.18

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Solution

The fourth proportional to 434.64, 651.66 and 288.18 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 651.66 = 288.18 : x
  2. Step 2: Convert to fraction form
    434.64/651.66 = 288.18/x
  3. Step 3: Cross multiply
    434.64x = 651.66 × 288.18
  4. Step 4: Simplify right side
    434.64x = 187,795.38
  5. Step 5: Solve for x
    x = 187,795.38/434.64
  6. Step 6: Final answer
    x = 432.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.