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Finding the Fourth Proportional to 583.08, 875.98 and 582.16

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Solution

The fourth proportional to 583.08, 875.98 and 582.16 is: 874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.08 : 875.98 = 582.16 : x
  2. Step 2: Convert to fraction form
    583.08/875.98 = 582.16/x
  3. Step 3: Cross multiply
    583.08x = 875.98 × 582.16
  4. Step 4: Simplify right side
    583.08x = 509,960.52
  5. Step 5: Solve for x
    x = 509,960.52/583.08
  6. Step 6: Final answer
    x = 874.60

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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.