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Finding the Fourth Proportional to 582.93, 804.78 and 417.33

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Solution

The fourth proportional to 582.93, 804.78 and 417.33 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.93 : 804.78 = 417.33 : x
  2. Step 2: Convert to fraction form
    582.93/804.78 = 417.33/x
  3. Step 3: Cross multiply
    582.93x = 804.78 × 417.33
  4. Step 4: Simplify right side
    582.93x = 335,858.84
  5. Step 5: Solve for x
    x = 335,858.84/582.93
  6. Step 6: Final answer
    x = 576.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.