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Finding the Fourth Proportional to 582.60, 804.24 and 414.66

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Solution

The fourth proportional to 582.60, 804.24 and 414.66 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.60 : 804.24 = 414.66 : x
  2. Step 2: Convert to fraction form
    582.60/804.24 = 414.66/x
  3. Step 3: Cross multiply
    582.60x = 804.24 × 414.66
  4. Step 4: Simplify right side
    582.60x = 333,486.16
  5. Step 5: Solve for x
    x = 333,486.16/582.60
  6. Step 6: Final answer
    x = 572.41

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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.