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Finding the Fourth Proportional to 570.92, 788.90 and 455.40

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Solution

The fourth proportional to 570.92, 788.90 and 455.40 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.92 : 788.90 = 455.40 : x
  2. Step 2: Convert to fraction form
    570.92/788.90 = 455.40/x
  3. Step 3: Cross multiply
    570.92x = 788.90 × 455.40
  4. Step 4: Simplify right side
    570.92x = 359,265.06
  5. Step 5: Solve for x
    x = 359,265.06/570.92
  6. Step 6: Final answer
    x = 629.27

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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.