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Finding the Fourth Proportional to 474.82, 710.77 and 414.07

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Solution

The fourth proportional to 474.82, 710.77 and 414.07 is: 619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.82 : 710.77 = 414.07 : x
  2. Step 2: Convert to fraction form
    474.82/710.77 = 414.07/x
  3. Step 3: Cross multiply
    474.82x = 710.77 × 414.07
  4. Step 4: Simplify right side
    474.82x = 294,307.50
  5. Step 5: Solve for x
    x = 294,307.50/474.82
  6. Step 6: Final answer
    x = 619.83

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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.