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Finding the Fourth Proportional to 469.10, 646.10 and 406.93

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Solution

The fourth proportional to 469.10, 646.10 and 406.93 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 646.10 = 406.93 : x
  2. Step 2: Convert to fraction form
    469.10/646.10 = 406.93/x
  3. Step 3: Cross multiply
    469.10x = 646.10 × 406.93
  4. Step 4: Simplify right side
    469.10x = 262,917.47
  5. Step 5: Solve for x
    x = 262,917.47/469.10
  6. Step 6: Final answer
    x = 560.47

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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.