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Finding the Fourth Proportional to 592.21, 886.51 and 407.53

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Solution

The fourth proportional to 592.21, 886.51 and 407.53 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.21 : 886.51 = 407.53 : x
  2. Step 2: Convert to fraction form
    592.21/886.51 = 407.53/x
  3. Step 3: Cross multiply
    592.21x = 886.51 × 407.53
  4. Step 4: Simplify right side
    592.21x = 361,279.42
  5. Step 5: Solve for x
    x = 361,279.42/592.21
  6. Step 6: Final answer
    x = 610.05

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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.