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Finding the Fourth Proportional to 444, 612.54 and 313.08

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Solution

The fourth proportional to 444, 612.54 and 313.08 is: 431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    444 : 612.54 = 313.08 : x
  2. Step 2: Convert to fraction form
    444/612.54 = 313.08/x
  3. Step 3: Cross multiply
    444x = 612.54 × 313.08
  4. Step 4: Simplify right side
    444x = 191,774.02
  5. Step 5: Solve for x
    x = 191,774.02/444
  6. Step 6: Final answer
    x = 431.92

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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.