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Finding the Fourth Proportional to 595.15, 892.71 and 465.26

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Solution

The fourth proportional to 595.15, 892.71 and 465.26 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.15 : 892.71 = 465.26 : x
  2. Step 2: Convert to fraction form
    595.15/892.71 = 465.26/x
  3. Step 3: Cross multiply
    595.15x = 892.71 × 465.26
  4. Step 4: Simplify right side
    595.15x = 415,342.25
  5. Step 5: Solve for x
    x = 415,342.25/595.15
  6. Step 6: Final answer
    x = 697.88

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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.