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Finding the Fourth Proportional to 520.48, 718.62 and 334.45

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Solution

The fourth proportional to 520.48, 718.62 and 334.45 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 718.62 = 334.45 : x
  2. Step 2: Convert to fraction form
    520.48/718.62 = 334.45/x
  3. Step 3: Cross multiply
    520.48x = 718.62 × 334.45
  4. Step 4: Simplify right side
    520.48x = 240,342.46
  5. Step 5: Solve for x
    x = 240,342.46/520.48
  6. Step 6: Final answer
    x = 461.77

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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.