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Finding the Fourth Proportional to 598.14, 897.19 and 356.19

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Solution

The fourth proportional to 598.14, 897.19 and 356.19 is: 534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 897.19 = 356.19 : x
  2. Step 2: Convert to fraction form
    598.14/897.19 = 356.19/x
  3. Step 3: Cross multiply
    598.14x = 897.19 × 356.19
  4. Step 4: Simplify right side
    598.14x = 319,570.11
  5. Step 5: Solve for x
    x = 319,570.11/598.14
  6. Step 6: Final answer
    x = 534.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.