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Finding the Fourth Proportional to 597.32, 893.94 and 546.07

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Solution

The fourth proportional to 597.32, 893.94 and 546.07 is: 817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.32 : 893.94 = 546.07 : x
  2. Step 2: Convert to fraction form
    597.32/893.94 = 546.07/x
  3. Step 3: Cross multiply
    597.32x = 893.94 × 546.07
  4. Step 4: Simplify right side
    597.32x = 488,148.70
  5. Step 5: Solve for x
    x = 488,148.70/597.32
  6. Step 6: Final answer
    x = 817.23

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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.