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Finding the Fourth Proportional to 473.13, 706.50 and 386.63

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Solution

The fourth proportional to 473.13, 706.50 and 386.63 is: 577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.13 : 706.50 = 386.63 : x
  2. Step 2: Convert to fraction form
    473.13/706.50 = 386.63/x
  3. Step 3: Cross multiply
    473.13x = 706.50 × 386.63
  4. Step 4: Simplify right side
    473.13x = 273,155.86
  5. Step 5: Solve for x
    x = 273,155.86/473.13
  6. Step 6: Final answer
    x = 577.34

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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.