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Finding the Fourth Proportional to 595.68, 893.52 and 162.84

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Solution

The fourth proportional to 595.68, 893.52 and 162.84 is: 244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 893.52 = 162.84 : x
  2. Step 2: Convert to fraction form
    595.68/893.52 = 162.84/x
  3. Step 3: Cross multiply
    595.68x = 893.52 × 162.84
  4. Step 4: Simplify right side
    595.68x = 145,500.80
  5. Step 5: Solve for x
    x = 145,500.80/595.68
  6. Step 6: Final answer
    x = 244.26

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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.