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Finding the Fourth Proportional to 578.13, 867.51 and 442.05

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Solution

The fourth proportional to 578.13, 867.51 and 442.05 is: 663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.13 : 867.51 = 442.05 : x
  2. Step 2: Convert to fraction form
    578.13/867.51 = 442.05/x
  3. Step 3: Cross multiply
    578.13x = 867.51 × 442.05
  4. Step 4: Simplify right side
    578.13x = 383,482.80
  5. Step 5: Solve for x
    x = 383,482.80/578.13
  6. Step 6: Final answer
    x = 663.32

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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.