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Finding the Fourth Proportional to 528.89, 725.96 and 506.34

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Solution

The fourth proportional to 528.89, 725.96 and 506.34 is: 695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.89 : 725.96 = 506.34 : x
  2. Step 2: Convert to fraction form
    528.89/725.96 = 506.34/x
  3. Step 3: Cross multiply
    528.89x = 725.96 × 506.34
  4. Step 4: Simplify right side
    528.89x = 367,582.59
  5. Step 5: Solve for x
    x = 367,582.59/528.89
  6. Step 6: Final answer
    x = 695.01

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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.