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Finding the Fourth Proportional to 570.02, 788.36 and 491.42

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Solution

The fourth proportional to 570.02, 788.36 and 491.42 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 788.36 = 491.42 : x
  2. Step 2: Convert to fraction form
    570.02/788.36 = 491.42/x
  3. Step 3: Cross multiply
    570.02x = 788.36 × 491.42
  4. Step 4: Simplify right side
    570.02x = 387,415.87
  5. Step 5: Solve for x
    x = 387,415.87/570.02
  6. Step 6: Final answer
    x = 679.65

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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.