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Finding the Fourth Proportional to 398.93, 598.61 and 312.01

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Solution

The fourth proportional to 398.93, 598.61 and 312.01 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.93 : 598.61 = 312.01 : x
  2. Step 2: Convert to fraction form
    398.93/598.61 = 312.01/x
  3. Step 3: Cross multiply
    398.93x = 598.61 × 312.01
  4. Step 4: Simplify right side
    398.93x = 186,771.59
  5. Step 5: Solve for x
    x = 186,771.59/398.93
  6. Step 6: Final answer
    x = 468.19

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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.