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Finding the Fourth Proportional to 468.84, 703.58 and 176.61

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Solution

The fourth proportional to 468.84, 703.58 and 176.61 is: 265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 703.58 = 176.61 : x
  2. Step 2: Convert to fraction form
    468.84/703.58 = 176.61/x
  3. Step 3: Cross multiply
    468.84x = 703.58 × 176.61
  4. Step 4: Simplify right side
    468.84x = 124,258.38
  5. Step 5: Solve for x
    x = 124,258.38/468.84
  6. Step 6: Final answer
    x = 265.03

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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.