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Finding the Fourth Proportional to 651.83, 977.91 and 213.08

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Solution

The fourth proportional to 651.83, 977.91 and 213.08 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.83 : 977.91 = 213.08 : x
  2. Step 2: Convert to fraction form
    651.83/977.91 = 213.08/x
  3. Step 3: Cross multiply
    651.83x = 977.91 × 213.08
  4. Step 4: Simplify right side
    651.83x = 208,368.17
  5. Step 5: Solve for x
    x = 208,368.17/651.83
  6. Step 6: Final answer
    x = 319.67

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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.