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Finding the Fourth Proportional to 592.32, 886.05 and 407.64

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Solution

The fourth proportional to 592.32, 886.05 and 407.64 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 886.05 = 407.64 : x
  2. Step 2: Convert to fraction form
    592.32/886.05 = 407.64/x
  3. Step 3: Cross multiply
    592.32x = 886.05 × 407.64
  4. Step 4: Simplify right side
    592.32x = 361,189.42
  5. Step 5: Solve for x
    x = 361,189.42/592.32
  6. Step 6: Final answer
    x = 609.79

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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.