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Finding the Fourth Proportional to 564.81, 847.23 and 305.01

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Solution

The fourth proportional to 564.81, 847.23 and 305.01 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 847.23 = 305.01 : x
  2. Step 2: Convert to fraction form
    564.81/847.23 = 305.01/x
  3. Step 3: Cross multiply
    564.81x = 847.23 × 305.01
  4. Step 4: Simplify right side
    564.81x = 258,413.62
  5. Step 5: Solve for x
    x = 258,413.62/564.81
  6. Step 6: Final answer
    x = 457.52

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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.