Home / 598.04-824.46-401.12

Finding the Fourth Proportional to 598.04, 824.46 and 401.12

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Solution

The fourth proportional to 598.04, 824.46 and 401.12 is: 552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 824.46 = 401.12 : x
  2. Step 2: Convert to fraction form
    598.04/824.46 = 401.12/x
  3. Step 3: Cross multiply
    598.04x = 824.46 × 401.12
  4. Step 4: Simplify right side
    598.04x = 330,707.40
  5. Step 5: Solve for x
    x = 330,707.40/598.04
  6. Step 6: Final answer
    x = 552.99

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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.