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Finding the Fourth Proportional to 530.24, 731.40 and 405.50

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Solution

The fourth proportional to 530.24, 731.40 and 405.50 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 731.40 = 405.50 : x
  2. Step 2: Convert to fraction form
    530.24/731.40 = 405.50/x
  3. Step 3: Cross multiply
    530.24x = 731.40 × 405.50
  4. Step 4: Simplify right side
    530.24x = 296,579.04
  5. Step 5: Solve for x
    x = 296,579.04/530.24
  6. Step 6: Final answer
    x = 559.34

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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.