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Finding the Fourth Proportional to 556.13, 766.99 and 416.58

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Solution

The fourth proportional to 556.13, 766.99 and 416.58 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.13 : 766.99 = 416.58 : x
  2. Step 2: Convert to fraction form
    556.13/766.99 = 416.58/x
  3. Step 3: Cross multiply
    556.13x = 766.99 × 416.58
  4. Step 4: Simplify right side
    556.13x = 319,510.34
  5. Step 5: Solve for x
    x = 319,510.34/556.13
  6. Step 6: Final answer
    x = 574.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.