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Finding the Fourth Proportional to 530.19, 730.78 and 425.09

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Solution

The fourth proportional to 530.19, 730.78 and 425.09 is: 585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.19 : 730.78 = 425.09 : x
  2. Step 2: Convert to fraction form
    530.19/730.78 = 425.09/x
  3. Step 3: Cross multiply
    530.19x = 730.78 × 425.09
  4. Step 4: Simplify right side
    530.19x = 310,648.03
  5. Step 5: Solve for x
    x = 310,648.03/530.19
  6. Step 6: Final answer
    x = 585.92

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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.