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Finding the Fourth Proportional to 518.58, 715.76 and 466.04

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Solution

The fourth proportional to 518.58, 715.76 and 466.04 is: 643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.58 : 715.76 = 466.04 : x
  2. Step 2: Convert to fraction form
    518.58/715.76 = 466.04/x
  3. Step 3: Cross multiply
    518.58x = 715.76 × 466.04
  4. Step 4: Simplify right side
    518.58x = 333,570.38
  5. Step 5: Solve for x
    x = 333,570.38/518.58
  6. Step 6: Final answer
    x = 643.24

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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.