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Finding the Fourth Proportional to 584.16, 804.54 and 459.62

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Solution

The fourth proportional to 584.16, 804.54 and 459.62 is: 633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 804.54 = 459.62 : x
  2. Step 2: Convert to fraction form
    584.16/804.54 = 459.62/x
  3. Step 3: Cross multiply
    584.16x = 804.54 × 459.62
  4. Step 4: Simplify right side
    584.16x = 369,782.67
  5. Step 5: Solve for x
    x = 369,782.67/584.16
  6. Step 6: Final answer
    x = 633.02

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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.