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Finding the Fourth Proportional to 572.59, 790.15 and 407.08

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Solution

The fourth proportional to 572.59, 790.15 and 407.08 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.59 : 790.15 = 407.08 : x
  2. Step 2: Convert to fraction form
    572.59/790.15 = 407.08/x
  3. Step 3: Cross multiply
    572.59x = 790.15 × 407.08
  4. Step 4: Simplify right side
    572.59x = 321,654.26
  5. Step 5: Solve for x
    x = 321,654.26/572.59
  6. Step 6: Final answer
    x = 561.75

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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.