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Finding the Fourth Proportional to 589.20, 812.98 and 356.32

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Solution

The fourth proportional to 589.20, 812.98 and 356.32 is: 491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 812.98 = 356.32 : x
  2. Step 2: Convert to fraction form
    589.20/812.98 = 356.32/x
  3. Step 3: Cross multiply
    589.20x = 812.98 × 356.32
  4. Step 4: Simplify right side
    589.20x = 289,681.03
  5. Step 5: Solve for x
    x = 289,681.03/589.20
  6. Step 6: Final answer
    x = 491.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.