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Finding the Fourth Proportional to 595.66, 892.26 and 465.52

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Solution

The fourth proportional to 595.66, 892.26 and 465.52 is: 697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 892.26 = 465.52 : x
  2. Step 2: Convert to fraction form
    595.66/892.26 = 465.52/x
  3. Step 3: Cross multiply
    595.66x = 892.26 × 465.52
  4. Step 4: Simplify right side
    595.66x = 415,364.88
  5. Step 5: Solve for x
    x = 415,364.88/595.66
  6. Step 6: Final answer
    x = 697.32

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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.