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Finding the Fourth Proportional to 582.54, 804.06 and 417.06

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Solution

The fourth proportional to 582.54, 804.06 and 417.06 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 804.06 = 417.06 : x
  2. Step 2: Convert to fraction form
    582.54/804.06 = 417.06/x
  3. Step 3: Cross multiply
    582.54x = 804.06 × 417.06
  4. Step 4: Simplify right side
    582.54x = 335,341.26
  5. Step 5: Solve for x
    x = 335,341.26/582.54
  6. Step 6: Final answer
    x = 575.65

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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.