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Finding the Fourth Proportional to 584.42, 805.73 and 484.47

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Solution

The fourth proportional to 584.42, 805.73 and 484.47 is: 667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.42 : 805.73 = 484.47 : x
  2. Step 2: Convert to fraction form
    584.42/805.73 = 484.47/x
  3. Step 3: Cross multiply
    584.42x = 805.73 × 484.47
  4. Step 4: Simplify right side
    584.42x = 390,349.59
  5. Step 5: Solve for x
    x = 390,349.59/584.42
  6. Step 6: Final answer
    x = 667.93

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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.