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Finding the Fourth Proportional to 434.28, 651.54 and 145.74

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Solution

The fourth proportional to 434.28, 651.54 and 145.74 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.28 : 651.54 = 145.74 : x
  2. Step 2: Convert to fraction form
    434.28/651.54 = 145.74/x
  3. Step 3: Cross multiply
    434.28x = 651.54 × 145.74
  4. Step 4: Simplify right side
    434.28x = 94,955.44
  5. Step 5: Solve for x
    x = 94,955.44/434.28
  6. Step 6: Final answer
    x = 218.65

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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.