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Finding the Fourth Proportional to 468.79, 645.98 and 444.08

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Solution

The fourth proportional to 468.79, 645.98 and 444.08 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.79 : 645.98 = 444.08 : x
  2. Step 2: Convert to fraction form
    468.79/645.98 = 444.08/x
  3. Step 3: Cross multiply
    468.79x = 645.98 × 444.08
  4. Step 4: Simplify right side
    468.79x = 286,866.19
  5. Step 5: Solve for x
    x = 286,866.19/468.79
  6. Step 6: Final answer
    x = 611.93

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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.