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Finding the Fourth Proportional to 592.93, 888.90 and 410.68

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Solution

The fourth proportional to 592.93, 888.90 and 410.68 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.93 : 888.90 = 410.68 : x
  2. Step 2: Convert to fraction form
    592.93/888.90 = 410.68/x
  3. Step 3: Cross multiply
    592.93x = 888.90 × 410.68
  4. Step 4: Simplify right side
    592.93x = 365,053.45
  5. Step 5: Solve for x
    x = 365,053.45/592.93
  6. Step 6: Final answer
    x = 615.68

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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.