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Finding the Fourth Proportional to 655.39, 904.74 and 466.47

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Solution

The fourth proportional to 655.39, 904.74 and 466.47 is: 643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.39 : 904.74 = 466.47 : x
  2. Step 2: Convert to fraction form
    655.39/904.74 = 466.47/x
  3. Step 3: Cross multiply
    655.39x = 904.74 × 466.47
  4. Step 4: Simplify right side
    655.39x = 422,034.07
  5. Step 5: Solve for x
    x = 422,034.07/655.39
  6. Step 6: Final answer
    x = 643.94

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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.