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Finding the Fourth Proportional to 597.36, 889.50 and 565.68

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Solution

The fourth proportional to 597.36, 889.50 and 565.68 is: 842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.36 : 889.50 = 565.68 : x
  2. Step 2: Convert to fraction form
    597.36/889.50 = 565.68/x
  3. Step 3: Cross multiply
    597.36x = 889.50 × 565.68
  4. Step 4: Simplify right side
    597.36x = 503,172.36
  5. Step 5: Solve for x
    x = 503,172.36/597.36
  6. Step 6: Final answer
    x = 842.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.