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Finding the Fourth Proportional to 586.37, 877.72 and 439.25

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Solution

The fourth proportional to 586.37, 877.72 and 439.25 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.37 : 877.72 = 439.25 : x
  2. Step 2: Convert to fraction form
    586.37/877.72 = 439.25/x
  3. Step 3: Cross multiply
    586.37x = 877.72 × 439.25
  4. Step 4: Simplify right side
    586.37x = 385,538.51
  5. Step 5: Solve for x
    x = 385,538.51/586.37
  6. Step 6: Final answer
    x = 657.50

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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.