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Finding the Fourth Proportional to 504.73, 751.50 and 474.67

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Solution

The fourth proportional to 504.73, 751.50 and 474.67 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 751.50 = 474.67 : x
  2. Step 2: Convert to fraction form
    504.73/751.50 = 474.67/x
  3. Step 3: Cross multiply
    504.73x = 751.50 × 474.67
  4. Step 4: Simplify right side
    504.73x = 356,710.75
  5. Step 5: Solve for x
    x = 356,710.75/504.73
  6. Step 6: Final answer
    x = 706.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.