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Finding the Fourth Proportional to 557.83, 769.30 and 470.35

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Solution

The fourth proportional to 557.83, 769.30 and 470.35 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.83 : 769.30 = 470.35 : x
  2. Step 2: Convert to fraction form
    557.83/769.30 = 470.35/x
  3. Step 3: Cross multiply
    557.83x = 769.30 × 470.35
  4. Step 4: Simplify right side
    557.83x = 361,840.26
  5. Step 5: Solve for x
    x = 361,840.26/557.83
  6. Step 6: Final answer
    x = 648.66

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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.