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Finding the Fourth Proportional to 556.24, 767.77 and 390.49

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Solution

The fourth proportional to 556.24, 767.77 and 390.49 is: 538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.24 : 767.77 = 390.49 : x
  2. Step 2: Convert to fraction form
    556.24/767.77 = 390.49/x
  3. Step 3: Cross multiply
    556.24x = 767.77 × 390.49
  4. Step 4: Simplify right side
    556.24x = 299,806.49
  5. Step 5: Solve for x
    x = 299,806.49/556.24
  6. Step 6: Final answer
    x = 538.99

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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.