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Finding the Fourth Proportional to 595.42, 893.13 and 184.58

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Solution

The fourth proportional to 595.42, 893.13 and 184.58 is: 276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.42 : 893.13 = 184.58 : x
  2. Step 2: Convert to fraction form
    595.42/893.13 = 184.58/x
  3. Step 3: Cross multiply
    595.42x = 893.13 × 184.58
  4. Step 4: Simplify right side
    595.42x = 164,852.13
  5. Step 5: Solve for x
    x = 164,852.13/595.42
  6. Step 6: Final answer
    x = 276.87

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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.