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Finding the Fourth Proportional to 607.50, 838.50 and 345.67

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Solution

The fourth proportional to 607.50, 838.50 and 345.67 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 838.50 = 345.67 : x
  2. Step 2: Convert to fraction form
    607.50/838.50 = 345.67/x
  3. Step 3: Cross multiply
    607.50x = 838.50 × 345.67
  4. Step 4: Simplify right side
    607.50x = 289,842.85
  5. Step 5: Solve for x
    x = 289,842.85/607.50
  6. Step 6: Final answer
    x = 477.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.