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Finding the Fourth Proportional to 592.05, 886.65 and 454.08

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Solution

The fourth proportional to 592.05, 886.65 and 454.08 is: 680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.05 : 886.65 = 454.08 : x
  2. Step 2: Convert to fraction form
    592.05/886.65 = 454.08/x
  3. Step 3: Cross multiply
    592.05x = 886.65 × 454.08
  4. Step 4: Simplify right side
    592.05x = 402,610.03
  5. Step 5: Solve for x
    x = 402,610.03/592.05
  6. Step 6: Final answer
    x = 680.03

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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.