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Finding the Fourth Proportional to 530.45, 732.05 and 297.57

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Solution

The fourth proportional to 530.45, 732.05 and 297.57 is: 410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.45 : 732.05 = 297.57 : x
  2. Step 2: Convert to fraction form
    530.45/732.05 = 297.57/x
  3. Step 3: Cross multiply
    530.45x = 732.05 × 297.57
  4. Step 4: Simplify right side
    530.45x = 217,836.12
  5. Step 5: Solve for x
    x = 217,836.12/530.45
  6. Step 6: Final answer
    x = 410.66

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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.