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Finding the Fourth Proportional to 570.76, 788.34 and 496.84

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Solution

The fourth proportional to 570.76, 788.34 and 496.84 is: 686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 788.34 = 496.84 : x
  2. Step 2: Convert to fraction form
    570.76/788.34 = 496.84/x
  3. Step 3: Cross multiply
    570.76x = 788.34 × 496.84
  4. Step 4: Simplify right side
    570.76x = 391,678.85
  5. Step 5: Solve for x
    x = 391,678.85/570.76
  6. Step 6: Final answer
    x = 686.24

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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.