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Finding the Fourth Proportional to 597.37, 897.60 and 560.47

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Solution

The fourth proportional to 597.37, 897.60 and 560.47 is: 842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.37 : 897.60 = 560.47 : x
  2. Step 2: Convert to fraction form
    597.37/897.60 = 560.47/x
  3. Step 3: Cross multiply
    597.37x = 897.60 × 560.47
  4. Step 4: Simplify right side
    597.37x = 503,077.87
  5. Step 5: Solve for x
    x = 503,077.87/597.37
  6. Step 6: Final answer
    x = 842.15

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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.