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Finding the Fourth Proportional to 469.98, 646.95 and 406.94

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Solution

The fourth proportional to 469.98, 646.95 and 406.94 is: 560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.98 : 646.95 = 406.94 : x
  2. Step 2: Convert to fraction form
    469.98/646.95 = 406.94/x
  3. Step 3: Cross multiply
    469.98x = 646.95 × 406.94
  4. Step 4: Simplify right side
    469.98x = 263,266.60
  5. Step 5: Solve for x
    x = 263,266.60/469.98
  6. Step 6: Final answer
    x = 560.17

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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.