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Finding the Fourth Proportional to 595.39, 892.15 and 465.08

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Solution

The fourth proportional to 595.39, 892.15 and 465.08 is: 696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.39 : 892.15 = 465.08 : x
  2. Step 2: Convert to fraction form
    595.39/892.15 = 465.08/x
  3. Step 3: Cross multiply
    595.39x = 892.15 × 465.08
  4. Step 4: Simplify right side
    595.39x = 414,921.12
  5. Step 5: Solve for x
    x = 414,921.12/595.39
  6. Step 6: Final answer
    x = 696.89

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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.