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Finding the Fourth Proportional to 597.93, 897.01 and 186.98

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Solution

The fourth proportional to 597.93, 897.01 and 186.98 is: 280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 897.01 = 186.98 : x
  2. Step 2: Convert to fraction form
    597.93/897.01 = 186.98/x
  3. Step 3: Cross multiply
    597.93x = 897.01 × 186.98
  4. Step 4: Simplify right side
    597.93x = 167,717.98
  5. Step 5: Solve for x
    x = 167,717.98/597.93
  6. Step 6: Final answer
    x = 280.50

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1.5x scale

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.