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Finding the Fourth Proportional to 670.22, 923.82 and 530.06

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Solution

The fourth proportional to 670.22, 923.82 and 530.06 is: 730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.22 : 923.82 = 530.06 : x
  2. Step 2: Convert to fraction form
    670.22/923.82 = 530.06/x
  3. Step 3: Cross multiply
    670.22x = 923.82 × 530.06
  4. Step 4: Simplify right side
    670.22x = 489,680.03
  5. Step 5: Solve for x
    x = 489,680.03/670.22
  6. Step 6: Final answer
    x = 730.63

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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.