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Finding the Fourth Proportional to 530.03, 730.28 and 355.07

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Solution

The fourth proportional to 530.03, 730.28 and 355.07 is: 489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.03 : 730.28 = 355.07 : x
  2. Step 2: Convert to fraction form
    530.03/730.28 = 355.07/x
  3. Step 3: Cross multiply
    530.03x = 730.28 × 355.07
  4. Step 4: Simplify right side
    530.03x = 259,295.09
  5. Step 5: Solve for x
    x = 259,295.09/530.03
  6. Step 6: Final answer
    x = 489.21

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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.