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Finding the Fourth Proportional to 478.76, 718.34 and 296.06

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Solution

The fourth proportional to 478.76, 718.34 and 296.06 is: 444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 718.34 = 296.06 : x
  2. Step 2: Convert to fraction form
    478.76/718.34 = 296.06/x
  3. Step 3: Cross multiply
    478.76x = 718.34 × 296.06
  4. Step 4: Simplify right side
    478.76x = 212,666.67
  5. Step 5: Solve for x
    x = 212,666.67/478.76
  6. Step 6: Final answer
    x = 444.21

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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.