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Finding the Fourth Proportional to 525.34, 724.74 and 315.51

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Solution

The fourth proportional to 525.34, 724.74 and 315.51 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.34 : 724.74 = 315.51 : x
  2. Step 2: Convert to fraction form
    525.34/724.74 = 315.51/x
  3. Step 3: Cross multiply
    525.34x = 724.74 × 315.51
  4. Step 4: Simplify right side
    525.34x = 228,662.72
  5. Step 5: Solve for x
    x = 228,662.72/525.34
  6. Step 6: Final answer
    x = 435.27

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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.