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Finding the Fourth Proportional to 595.16, 892.42 and 205.04

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Solution

The fourth proportional to 595.16, 892.42 and 205.04 is: 307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 892.42 = 205.04 : x
  2. Step 2: Convert to fraction form
    595.16/892.42 = 205.04/x
  3. Step 3: Cross multiply
    595.16x = 892.42 × 205.04
  4. Step 4: Simplify right side
    595.16x = 182,981.80
  5. Step 5: Solve for x
    x = 182,981.80/595.16
  6. Step 6: Final answer
    x = 307.45

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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.