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Finding the Fourth Proportional to 530.64, 730.62 and 482.04

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Solution

The fourth proportional to 530.64, 730.62 and 482.04 is: 663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 730.62 = 482.04 : x
  2. Step 2: Convert to fraction form
    530.64/730.62 = 482.04/x
  3. Step 3: Cross multiply
    530.64x = 730.62 × 482.04
  4. Step 4: Simplify right side
    530.64x = 352,188.06
  5. Step 5: Solve for x
    x = 352,188.06/530.64
  6. Step 6: Final answer
    x = 663.70

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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.