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Finding the Fourth Proportional to 610.69, 841.76 and 477.67

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Solution

The fourth proportional to 610.69, 841.76 and 477.67 is: 658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.69 : 841.76 = 477.67 : x
  2. Step 2: Convert to fraction form
    610.69/841.76 = 477.67/x
  3. Step 3: Cross multiply
    610.69x = 841.76 × 477.67
  4. Step 4: Simplify right side
    610.69x = 402,083.50
  5. Step 5: Solve for x
    x = 402,083.50/610.69
  6. Step 6: Final answer
    x = 658.41

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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.