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Finding the Fourth Proportional to 572.42, 858.70 and 202.15

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Solution

The fourth proportional to 572.42, 858.70 and 202.15 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 858.70 = 202.15 : x
  2. Step 2: Convert to fraction form
    572.42/858.70 = 202.15/x
  3. Step 3: Cross multiply
    572.42x = 858.70 × 202.15
  4. Step 4: Simplify right side
    572.42x = 173,585.42
  5. Step 5: Solve for x
    x = 173,585.42/572.42
  6. Step 6: Final answer
    x = 303.25

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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.