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Finding the Fourth Proportional to 504.77, 758.96 and 464.67

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Solution

The fourth proportional to 504.77, 758.96 and 464.67 is: 698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.77 : 758.96 = 464.67 : x
  2. Step 2: Convert to fraction form
    504.77/758.96 = 464.67/x
  3. Step 3: Cross multiply
    504.77x = 758.96 × 464.67
  4. Step 4: Simplify right side
    504.77x = 352,663.62
  5. Step 5: Solve for x
    x = 352,663.62/504.77
  6. Step 6: Final answer
    x = 698.67

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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.