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Finding the Fourth Proportional to 469.54, 646.94 and 314.02

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Solution

The fourth proportional to 469.54, 646.94 and 314.02 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 646.94 = 314.02 : x
  2. Step 2: Convert to fraction form
    469.54/646.94 = 314.02/x
  3. Step 3: Cross multiply
    469.54x = 646.94 × 314.02
  4. Step 4: Simplify right side
    469.54x = 203,152.10
  5. Step 5: Solve for x
    x = 203,152.10/469.54
  6. Step 6: Final answer
    x = 432.66

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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.