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Finding the Fourth Proportional to 530.92, 733.62 and 415.36

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Solution

The fourth proportional to 530.92, 733.62 and 415.36 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.92 : 733.62 = 415.36 : x
  2. Step 2: Convert to fraction form
    530.92/733.62 = 415.36/x
  3. Step 3: Cross multiply
    530.92x = 733.62 × 415.36
  4. Step 4: Simplify right side
    530.92x = 304,716.40
  5. Step 5: Solve for x
    x = 304,716.40/530.92
  6. Step 6: Final answer
    x = 573.94

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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.