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Finding the Fourth Proportional to 592.48, 886.94 and 406.99

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Solution

The fourth proportional to 592.48, 886.94 and 406.99 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.48 : 886.94 = 406.99 : x
  2. Step 2: Convert to fraction form
    592.48/886.94 = 406.99/x
  3. Step 3: Cross multiply
    592.48x = 886.94 × 406.99
  4. Step 4: Simplify right side
    592.48x = 360,971.46
  5. Step 5: Solve for x
    x = 360,971.46/592.48
  6. Step 6: Final answer
    x = 609.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.