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Finding the Fourth Proportional to 598.26, 897.45 and 290.05

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Solution

The fourth proportional to 598.26, 897.45 and 290.05 is: 435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.26 : 897.45 = 290.05 : x
  2. Step 2: Convert to fraction form
    598.26/897.45 = 290.05/x
  3. Step 3: Cross multiply
    598.26x = 897.45 × 290.05
  4. Step 4: Simplify right side
    598.26x = 260,305.37
  5. Step 5: Solve for x
    x = 260,305.37/598.26
  6. Step 6: Final answer
    x = 435.10

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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.