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Finding the Fourth Proportional to 584.32, 874.80 and 294.88

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Solution

The fourth proportional to 584.32, 874.80 and 294.88 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 874.80 = 294.88 : x
  2. Step 2: Convert to fraction form
    584.32/874.80 = 294.88/x
  3. Step 3: Cross multiply
    584.32x = 874.80 × 294.88
  4. Step 4: Simplify right side
    584.32x = 257,961.02
  5. Step 5: Solve for x
    x = 257,961.02/584.32
  6. Step 6: Final answer
    x = 441.47

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1.5x scale

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.