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Finding the Fourth Proportional to 556.30, 833.03 and 464.77

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Solution

The fourth proportional to 556.30, 833.03 and 464.77 is: 695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.30 : 833.03 = 464.77 : x
  2. Step 2: Convert to fraction form
    556.30/833.03 = 464.77/x
  3. Step 3: Cross multiply
    556.30x = 833.03 × 464.77
  4. Step 4: Simplify right side
    556.30x = 387,160.86
  5. Step 5: Solve for x
    x = 387,160.86/556.30
  6. Step 6: Final answer
    x = 695.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.