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Finding the Fourth Proportional to 530.82, 732.57 and 297.93

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Solution

The fourth proportional to 530.82, 732.57 and 297.93 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.57 = 297.93 : x
  2. Step 2: Convert to fraction form
    530.82/732.57 = 297.93/x
  3. Step 3: Cross multiply
    530.82x = 732.57 × 297.93
  4. Step 4: Simplify right side
    530.82x = 218,254.58
  5. Step 5: Solve for x
    x = 218,254.58/530.82
  6. Step 6: Final answer
    x = 411.16

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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.