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Finding the Fourth Proportional to 530.05, 730.80 and 405.52

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Solution

The fourth proportional to 530.05, 730.80 and 405.52 is: 559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.05 : 730.80 = 405.52 : x
  2. Step 2: Convert to fraction form
    530.05/730.80 = 405.52/x
  3. Step 3: Cross multiply
    530.05x = 730.80 × 405.52
  4. Step 4: Simplify right side
    530.05x = 296,354.02
  5. Step 5: Solve for x
    x = 296,354.02/530.05
  6. Step 6: Final answer
    x = 559.11

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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.