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Finding the Fourth Proportional to 651.61, 977.29 and 342.49

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Solution

The fourth proportional to 651.61, 977.29 and 342.49 is: 513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.61 : 977.29 = 342.49 : x
  2. Step 2: Convert to fraction form
    651.61/977.29 = 342.49/x
  3. Step 3: Cross multiply
    651.61x = 977.29 × 342.49
  4. Step 4: Simplify right side
    651.61x = 334,712.05
  5. Step 5: Solve for x
    x = 334,712.05/651.61
  6. Step 6: Final answer
    x = 513.67

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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.