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Finding the Fourth Proportional to 600.84, 901.62 and 276.30

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Solution

The fourth proportional to 600.84, 901.62 and 276.30 is: 414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 901.62 = 276.30 : x
  2. Step 2: Convert to fraction form
    600.84/901.62 = 276.30/x
  3. Step 3: Cross multiply
    600.84x = 901.62 × 276.30
  4. Step 4: Simplify right side
    600.84x = 249,117.61
  5. Step 5: Solve for x
    x = 249,117.61/600.84
  6. Step 6: Final answer
    x = 414.62

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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.