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Finding the Fourth Proportional to 530.10, 731.77 and 353.36

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Solution

The fourth proportional to 530.10, 731.77 and 353.36 is: 487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 731.77 = 353.36 : x
  2. Step 2: Convert to fraction form
    530.10/731.77 = 353.36/x
  3. Step 3: Cross multiply
    530.10x = 731.77 × 353.36
  4. Step 4: Simplify right side
    530.10x = 258,579.19
  5. Step 5: Solve for x
    x = 258,579.19/530.10
  6. Step 6: Final answer
    x = 487.79

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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.