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Finding the Fourth Proportional to 520.10, 715.59 and 449.93

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Solution

The fourth proportional to 520.10, 715.59 and 449.93 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 715.59 = 449.93 : x
  2. Step 2: Convert to fraction form
    520.10/715.59 = 449.93/x
  3. Step 3: Cross multiply
    520.10x = 715.59 × 449.93
  4. Step 4: Simplify right side
    520.10x = 321,961.83
  5. Step 5: Solve for x
    x = 321,961.83/520.10
  6. Step 6: Final answer
    x = 619.04

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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.