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Finding the Fourth Proportional to 564.95, 847.74 and 304.95

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Solution

The fourth proportional to 564.95, 847.74 and 304.95 is: 457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 847.74 = 304.95 : x
  2. Step 2: Convert to fraction form
    564.95/847.74 = 304.95/x
  3. Step 3: Cross multiply
    564.95x = 847.74 × 304.95
  4. Step 4: Simplify right side
    564.95x = 258,516.28
  5. Step 5: Solve for x
    x = 258,516.28/564.95
  6. Step 6: Final answer
    x = 457.59

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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.