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Finding the Fourth Proportional to 595.12, 893.38 and 465.28

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Solution

The fourth proportional to 595.12, 893.38 and 465.28 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 893.38 = 465.28 : x
  2. Step 2: Convert to fraction form
    595.12/893.38 = 465.28/x
  3. Step 3: Cross multiply
    595.12x = 893.38 × 465.28
  4. Step 4: Simplify right side
    595.12x = 415,671.85
  5. Step 5: Solve for x
    x = 415,671.85/595.12
  6. Step 6: Final answer
    x = 698.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.