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Finding the Fourth Proportional to 530.43, 730.21 and 464.82

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Solution

The fourth proportional to 530.43, 730.21 and 464.82 is: 639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.43 : 730.21 = 464.82 : x
  2. Step 2: Convert to fraction form
    530.43/730.21 = 464.82/x
  3. Step 3: Cross multiply
    530.43x = 730.21 × 464.82
  4. Step 4: Simplify right side
    530.43x = 339,416.21
  5. Step 5: Solve for x
    x = 339,416.21/530.43
  6. Step 6: Final answer
    x = 639.89

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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.