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Finding the Fourth Proportional to 526.16, 725.79 and 421.16

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Solution

The fourth proportional to 526.16, 725.79 and 421.16 is: 580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 725.79 = 421.16 : x
  2. Step 2: Convert to fraction form
    526.16/725.79 = 421.16/x
  3. Step 3: Cross multiply
    526.16x = 725.79 × 421.16
  4. Step 4: Simplify right side
    526.16x = 305,673.72
  5. Step 5: Solve for x
    x = 305,673.72/526.16
  6. Step 6: Final answer
    x = 580.95

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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.