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Finding the Fourth Proportional to 597.84, 895.93 and 451.46

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Solution

The fourth proportional to 597.84, 895.93 and 451.46 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 895.93 = 451.46 : x
  2. Step 2: Convert to fraction form
    597.84/895.93 = 451.46/x
  3. Step 3: Cross multiply
    597.84x = 895.93 × 451.46
  4. Step 4: Simplify right side
    597.84x = 404,476.56
  5. Step 5: Solve for x
    x = 404,476.56/597.84
  6. Step 6: Final answer
    x = 676.56

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Why These Related Problems?

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