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Finding the Fourth Proportional to 598.16, 897.84 and 402.54

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Solution

The fourth proportional to 598.16, 897.84 and 402.54 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 897.84 = 402.54 : x
  2. Step 2: Convert to fraction form
    598.16/897.84 = 402.54/x
  3. Step 3: Cross multiply
    598.16x = 897.84 × 402.54
  4. Step 4: Simplify right side
    598.16x = 361,416.51
  5. Step 5: Solve for x
    x = 361,416.51/598.16
  6. Step 6: Final answer
    x = 604.22

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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.