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Finding the Fourth Proportional to 595.46, 893.46 and 306.92

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Solution

The fourth proportional to 595.46, 893.46 and 306.92 is: 460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.46 : 893.46 = 306.92 : x
  2. Step 2: Convert to fraction form
    595.46/893.46 = 306.92/x
  3. Step 3: Cross multiply
    595.46x = 893.46 × 306.92
  4. Step 4: Simplify right side
    595.46x = 274,220.74
  5. Step 5: Solve for x
    x = 274,220.74/595.46
  6. Step 6: Final answer
    x = 460.52

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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.