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Finding the Fourth Proportional to 484.41, 722.58 and 468.45

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Solution

The fourth proportional to 484.41, 722.58 and 468.45 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.41 : 722.58 = 468.45 : x
  2. Step 2: Convert to fraction form
    484.41/722.58 = 468.45/x
  3. Step 3: Cross multiply
    484.41x = 722.58 × 468.45
  4. Step 4: Simplify right side
    484.41x = 338,492.60
  5. Step 5: Solve for x
    x = 338,492.60/484.41
  6. Step 6: Final answer
    x = 698.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.