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Finding the Fourth Proportional to 597.16, 898.99 and 537.63

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Solution

The fourth proportional to 597.16, 898.99 and 537.63 is: 809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 898.99 = 537.63 : x
  2. Step 2: Convert to fraction form
    597.16/898.99 = 537.63/x
  3. Step 3: Cross multiply
    597.16x = 898.99 × 537.63
  4. Step 4: Simplify right side
    597.16x = 483,323.99
  5. Step 5: Solve for x
    x = 483,323.99/597.16
  6. Step 6: Final answer
    x = 809.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.