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Finding the Fourth Proportional to 597.34, 895.19 and 450.96

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Solution

The fourth proportional to 597.34, 895.19 and 450.96 is: 675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.34 : 895.19 = 450.96 : x
  2. Step 2: Convert to fraction form
    597.34/895.19 = 450.96/x
  3. Step 3: Cross multiply
    597.34x = 895.19 × 450.96
  4. Step 4: Simplify right side
    597.34x = 403,692.63
  5. Step 5: Solve for x
    x = 403,692.63/597.34
  6. Step 6: Final answer
    x = 675.82

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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.