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Finding the Fourth Proportional to 469.86, 647.37 and 382.38

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Solution

The fourth proportional to 469.86, 647.37 and 382.38 is: 526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 647.37 = 382.38 : x
  2. Step 2: Convert to fraction form
    469.86/647.37 = 382.38/x
  3. Step 3: Cross multiply
    469.86x = 647.37 × 382.38
  4. Step 4: Simplify right side
    469.86x = 247,541.34
  5. Step 5: Solve for x
    x = 247,541.34/469.86
  6. Step 6: Final answer
    x = 526.84

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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.