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Finding the Fourth Proportional to 598.08, 824.58 and 401.16

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Solution

The fourth proportional to 598.08, 824.58 and 401.16 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 824.58 = 401.16 : x
  2. Step 2: Convert to fraction form
    598.08/824.58 = 401.16/x
  3. Step 3: Cross multiply
    598.08x = 824.58 × 401.16
  4. Step 4: Simplify right side
    598.08x = 330,788.51
  5. Step 5: Solve for x
    x = 330,788.51/598.08
  6. Step 6: Final answer
    x = 553.08

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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.