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Finding the Fourth Proportional to 589.12, 808.50 and 533.74

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Solution

The fourth proportional to 589.12, 808.50 and 533.74 is: 732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 808.50 = 533.74 : x
  2. Step 2: Convert to fraction form
    589.12/808.50 = 533.74/x
  3. Step 3: Cross multiply
    589.12x = 808.50 × 533.74
  4. Step 4: Simplify right side
    589.12x = 431,528.79
  5. Step 5: Solve for x
    x = 431,528.79/589.12
  6. Step 6: Final answer
    x = 732.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.