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Finding the Fourth Proportional to 597.29, 895.37 and 288.99

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Solution

The fourth proportional to 597.29, 895.37 and 288.99 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 895.37 = 288.99 : x
  2. Step 2: Convert to fraction form
    597.29/895.37 = 288.99/x
  3. Step 3: Cross multiply
    597.29x = 895.37 × 288.99
  4. Step 4: Simplify right side
    597.29x = 258,751.53
  5. Step 5: Solve for x
    x = 258,751.53/597.29
  6. Step 6: Final answer
    x = 433.21

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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.