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Finding the Fourth Proportional to 597.68, 897.09 and 564.80

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Solution

The fourth proportional to 597.68, 897.09 and 564.80 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 897.09 = 564.80 : x
  2. Step 2: Convert to fraction form
    597.68/897.09 = 564.80/x
  3. Step 3: Cross multiply
    597.68x = 897.09 × 564.80
  4. Step 4: Simplify right side
    597.68x = 506,671.95
  5. Step 5: Solve for x
    x = 506,671.95/597.68
  6. Step 6: Final answer
    x = 847.74

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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.