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Finding the Fourth Proportional to 597.95, 897.06 and 452.15

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Solution

The fourth proportional to 597.95, 897.06 and 452.15 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.95 : 897.06 = 452.15 : x
  2. Step 2: Convert to fraction form
    597.95/897.06 = 452.15/x
  3. Step 3: Cross multiply
    597.95x = 897.06 × 452.15
  4. Step 4: Simplify right side
    597.95x = 405,601.19
  5. Step 5: Solve for x
    x = 405,601.19/597.95
  6. Step 6: Final answer
    x = 678.33

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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.