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Finding the Fourth Proportional to 582.08, 803.52 and 375.36

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Solution

The fourth proportional to 582.08, 803.52 and 375.36 is: 518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 803.52 = 375.36 : x
  2. Step 2: Convert to fraction form
    582.08/803.52 = 375.36/x
  3. Step 3: Cross multiply
    582.08x = 803.52 × 375.36
  4. Step 4: Simplify right side
    582.08x = 301,609.27
  5. Step 5: Solve for x
    x = 301,609.27/582.08
  6. Step 6: Final answer
    x = 518.16

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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.