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Finding the Fourth Proportional to 556.02, 766.80 and 400.50

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Solution

The fourth proportional to 556.02, 766.80 and 400.50 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 766.80 = 400.50 : x
  2. Step 2: Convert to fraction form
    556.02/766.80 = 400.50/x
  3. Step 3: Cross multiply
    556.02x = 766.80 × 400.50
  4. Step 4: Simplify right side
    556.02x = 307,103.40
  5. Step 5: Solve for x
    x = 307,103.40/556.02
  6. Step 6: Final answer
    x = 552.32

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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.