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Finding the Fourth Proportional to 587.58, 880.38 and 313.08

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Solution

The fourth proportional to 587.58, 880.38 and 313.08 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.58 : 880.38 = 313.08 : x
  2. Step 2: Convert to fraction form
    587.58/880.38 = 313.08/x
  3. Step 3: Cross multiply
    587.58x = 880.38 × 313.08
  4. Step 4: Simplify right side
    587.58x = 275,629.37
  5. Step 5: Solve for x
    x = 275,629.37/587.58
  6. Step 6: Final answer
    x = 469.09

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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.