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Finding the Fourth Proportional to 588.84, 811.76 and 464

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Solution

The fourth proportional to 588.84, 811.76 and 464 is: 639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 811.76 = 464 : x
  2. Step 2: Convert to fraction form
    588.84/811.76 = 464/x
  3. Step 3: Cross multiply
    588.84x = 811.76 × 464
  4. Step 4: Simplify right side
    588.84x = 376,656.64
  5. Step 5: Solve for x
    x = 376,656.64/588.84
  6. Step 6: Final answer
    x = 639.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.