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Finding the Fourth Proportional to 586.79, 880.25 and 464.88

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Solution

The fourth proportional to 586.79, 880.25 and 464.88 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.79 : 880.25 = 464.88 : x
  2. Step 2: Convert to fraction form
    586.79/880.25 = 464.88/x
  3. Step 3: Cross multiply
    586.79x = 880.25 × 464.88
  4. Step 4: Simplify right side
    586.79x = 409,208.30
  5. Step 5: Solve for x
    x = 409,208.30/586.79
  6. Step 6: Final answer
    x = 697.37

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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.