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Finding the Fourth Proportional to 530.69, 732.36 and 297.82

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Solution

The fourth proportional to 530.69, 732.36 and 297.82 is: 410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 732.36 = 297.82 : x
  2. Step 2: Convert to fraction form
    530.69/732.36 = 297.82/x
  3. Step 3: Cross multiply
    530.69x = 732.36 × 297.82
  4. Step 4: Simplify right side
    530.69x = 218,106.30
  5. Step 5: Solve for x
    x = 218,106.30/530.69
  6. Step 6: Final answer
    x = 410.99

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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.