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Finding the Fourth Proportional to 529.14, 726.30 and 506.58

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Solution

The fourth proportional to 529.14, 726.30 and 506.58 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 726.30 = 506.58 : x
  2. Step 2: Convert to fraction form
    529.14/726.30 = 506.58/x
  3. Step 3: Cross multiply
    529.14x = 726.30 × 506.58
  4. Step 4: Simplify right side
    529.14x = 367,929.05
  5. Step 5: Solve for x
    x = 367,929.05/529.14
  6. Step 6: Final answer
    x = 695.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.