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Finding the Fourth Proportional to 556.02, 831.60 and 538.20

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Solution

The fourth proportional to 556.02, 831.60 and 538.20 is: 804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 831.60 = 538.20 : x
  2. Step 2: Convert to fraction form
    556.02/831.60 = 538.20/x
  3. Step 3: Cross multiply
    556.02x = 831.60 × 538.20
  4. Step 4: Simplify right side
    556.02x = 447,567.12
  5. Step 5: Solve for x
    x = 447,567.12/556.02
  6. Step 6: Final answer
    x = 804.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.