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Finding the Fourth Proportional to 897.27, 1,346.15 and 377.00

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Solution

The fourth proportional to 897.27, 1,346.15 and 377.00 is: 565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.27 : 1,346.15 = 377.00 : x
  2. Step 2: Convert to fraction form
    897.27/1,346.15 = 377.00/x
  3. Step 3: Cross multiply
    897.27x = 1,346.15 × 377.00
  4. Step 4: Simplify right side
    897.27x = 507,489.93
  5. Step 5: Solve for x
    x = 507,489.93/897.27
  6. Step 6: Final answer
    x = 565.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.