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Finding the Fourth Proportional to 572.63, 790.43 and 407.33

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Solution

The fourth proportional to 572.63, 790.43 and 407.33 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 790.43 = 407.33 : x
  2. Step 2: Convert to fraction form
    572.63/790.43 = 407.33/x
  3. Step 3: Cross multiply
    572.63x = 790.43 × 407.33
  4. Step 4: Simplify right side
    572.63x = 321,959.86
  5. Step 5: Solve for x
    x = 321,959.86/572.63
  6. Step 6: Final answer
    x = 562.25

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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.