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Finding the Fourth Proportional to 528.74, 728.82 and 416.53

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Solution

The fourth proportional to 528.74, 728.82 and 416.53 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.74 : 728.82 = 416.53 : x
  2. Step 2: Convert to fraction form
    528.74/728.82 = 416.53/x
  3. Step 3: Cross multiply
    528.74x = 728.82 × 416.53
  4. Step 4: Simplify right side
    528.74x = 303,579.53
  5. Step 5: Solve for x
    x = 303,579.53/528.74
  6. Step 6: Final answer
    x = 574.15

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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.