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Finding the Fourth Proportional to 597.52, 891.64 and 536.23

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Solution

The fourth proportional to 597.52, 891.64 and 536.23 is: 800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 891.64 = 536.23 : x
  2. Step 2: Convert to fraction form
    597.52/891.64 = 536.23/x
  3. Step 3: Cross multiply
    597.52x = 891.64 × 536.23
  4. Step 4: Simplify right side
    597.52x = 478,124.12
  5. Step 5: Solve for x
    x = 478,124.12/597.52
  6. Step 6: Final answer
    x = 800.18

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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.