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Finding the Fourth Proportional to 564.38, 846.77 and 290.60

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Solution

The fourth proportional to 564.38, 846.77 and 290.60 is: 436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 846.77 = 290.60 : x
  2. Step 2: Convert to fraction form
    564.38/846.77 = 290.60/x
  3. Step 3: Cross multiply
    564.38x = 846.77 × 290.60
  4. Step 4: Simplify right side
    564.38x = 246,071.36
  5. Step 5: Solve for x
    x = 246,071.36/564.38
  6. Step 6: Final answer
    x = 436.00

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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.