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Finding the Fourth Proportional to 556.02, 766.71 and 415.92

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Solution

The fourth proportional to 556.02, 766.71 and 415.92 is: 573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 766.71 = 415.92 : x
  2. Step 2: Convert to fraction form
    556.02/766.71 = 415.92/x
  3. Step 3: Cross multiply
    556.02x = 766.71 × 415.92
  4. Step 4: Simplify right side
    556.02x = 318,890.02
  5. Step 5: Solve for x
    x = 318,890.02/556.02
  6. Step 6: Final answer
    x = 573.52

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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.