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Finding the Fourth Proportional to 572.96, 790.80 and 340.04

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Solution

The fourth proportional to 572.96, 790.80 and 340.04 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 790.80 = 340.04 : x
  2. Step 2: Convert to fraction form
    572.96/790.80 = 340.04/x
  3. Step 3: Cross multiply
    572.96x = 790.80 × 340.04
  4. Step 4: Simplify right side
    572.96x = 268,903.63
  5. Step 5: Solve for x
    x = 268,903.63/572.96
  6. Step 6: Final answer
    x = 469.32

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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.