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Finding the Fourth Proportional to 654.39, 903.36 and 465.47

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Solution

The fourth proportional to 654.39, 903.36 and 465.47 is: 642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.39 : 903.36 = 465.47 : x
  2. Step 2: Convert to fraction form
    654.39/903.36 = 465.47/x
  3. Step 3: Cross multiply
    654.39x = 903.36 × 465.47
  4. Step 4: Simplify right side
    654.39x = 420,482.46
  5. Step 5: Solve for x
    x = 420,482.46/654.39
  6. Step 6: Final answer
    x = 642.56

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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.