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Finding the Fourth Proportional to 556.49, 831.35 and 399.06

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Solution

The fourth proportional to 556.49, 831.35 and 399.06 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.49 : 831.35 = 399.06 : x
  2. Step 2: Convert to fraction form
    556.49/831.35 = 399.06/x
  3. Step 3: Cross multiply
    556.49x = 831.35 × 399.06
  4. Step 4: Simplify right side
    556.49x = 331,756.54
  5. Step 5: Solve for x
    x = 331,756.54/556.49
  6. Step 6: Final answer
    x = 596.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.