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Finding the Fourth Proportional to 556.06, 767.70 and 416.02

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Solution

The fourth proportional to 556.06, 767.70 and 416.02 is: 574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.06 : 767.70 = 416.02 : x
  2. Step 2: Convert to fraction form
    556.06/767.70 = 416.02/x
  3. Step 3: Cross multiply
    556.06x = 767.70 × 416.02
  4. Step 4: Simplify right side
    556.06x = 319,378.55
  5. Step 5: Solve for x
    x = 319,378.55/556.06
  6. Step 6: Final answer
    x = 574.36

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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.