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Finding the Fourth Proportional to 573.64, 860.74 and 284.92

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Solution

The fourth proportional to 573.64, 860.74 and 284.92 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.64 : 860.74 = 284.92 : x
  2. Step 2: Convert to fraction form
    573.64/860.74 = 284.92/x
  3. Step 3: Cross multiply
    573.64x = 860.74 × 284.92
  4. Step 4: Simplify right side
    573.64x = 245,242.04
  5. Step 5: Solve for x
    x = 245,242.04/573.64
  6. Step 6: Final answer
    x = 427.52

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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.