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Finding the Fourth Proportional to 572.35, 859.03 and 280.01

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Solution

The fourth proportional to 572.35, 859.03 and 280.01 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.35 : 859.03 = 280.01 : x
  2. Step 2: Convert to fraction form
    572.35/859.03 = 280.01/x
  3. Step 3: Cross multiply
    572.35x = 859.03 × 280.01
  4. Step 4: Simplify right side
    572.35x = 240,532.70
  5. Step 5: Solve for x
    x = 240,532.70/572.35
  6. Step 6: Final answer
    x = 420.25

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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.