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Finding the Fourth Proportional to 597.06, 889.56 and 569.52

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Solution

The fourth proportional to 597.06, 889.56 and 569.52 is: 848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.06 : 889.56 = 569.52 : x
  2. Step 2: Convert to fraction form
    597.06/889.56 = 569.52/x
  3. Step 3: Cross multiply
    597.06x = 889.56 × 569.52
  4. Step 4: Simplify right side
    597.06x = 506,622.21
  5. Step 5: Solve for x
    x = 506,622.21/597.06
  6. Step 6: Final answer
    x = 848.53

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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.