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Finding the Fourth Proportional to 600.84, 901.80 and 446.40

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Solution

The fourth proportional to 600.84, 901.80 and 446.40 is: 670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 901.80 = 446.40 : x
  2. Step 2: Convert to fraction form
    600.84/901.80 = 446.40/x
  3. Step 3: Cross multiply
    600.84x = 901.80 × 446.40
  4. Step 4: Simplify right side
    600.84x = 402,563.52
  5. Step 5: Solve for x
    x = 402,563.52/600.84
  6. Step 6: Final answer
    x = 670.00

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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.