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Finding the Fourth Proportional to 586.71, 877.77 and 463.68

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Solution

The fourth proportional to 586.71, 877.77 and 463.68 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.71 : 877.77 = 463.68 : x
  2. Step 2: Convert to fraction form
    586.71/877.77 = 463.68/x
  3. Step 3: Cross multiply
    586.71x = 877.77 × 463.68
  4. Step 4: Simplify right side
    586.71x = 407,004.39
  5. Step 5: Solve for x
    x = 407,004.39/586.71
  6. Step 6: Final answer
    x = 693.71

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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.