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Finding the Fourth Proportional to 582.51, 875.79 and 462.27

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Solution

The fourth proportional to 582.51, 875.79 and 462.27 is: 695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.51 : 875.79 = 462.27 : x
  2. Step 2: Convert to fraction form
    582.51/875.79 = 462.27/x
  3. Step 3: Cross multiply
    582.51x = 875.79 × 462.27
  4. Step 4: Simplify right side
    582.51x = 404,851.44
  5. Step 5: Solve for x
    x = 404,851.44/582.51
  6. Step 6: Final answer
    x = 695.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.