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Finding the Fourth Proportional to 582.76, 804.72 and 485.56

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Solution

The fourth proportional to 582.76, 804.72 and 485.56 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 804.72 = 485.56 : x
  2. Step 2: Convert to fraction form
    582.76/804.72 = 485.56/x
  3. Step 3: Cross multiply
    582.76x = 804.72 × 485.56
  4. Step 4: Simplify right side
    582.76x = 390,739.84
  5. Step 5: Solve for x
    x = 390,739.84/582.76
  6. Step 6: Final answer
    x = 670.50

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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.