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Finding the Fourth Proportional to 630.66, 870.62 and 421.20

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Solution

The fourth proportional to 630.66, 870.62 and 421.20 is: 581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.66 : 870.62 = 421.20 : x
  2. Step 2: Convert to fraction form
    630.66/870.62 = 421.20/x
  3. Step 3: Cross multiply
    630.66x = 870.62 × 421.20
  4. Step 4: Simplify right side
    630.66x = 366,705.14
  5. Step 5: Solve for x
    x = 366,705.14/630.66
  6. Step 6: Final answer
    x = 581.46

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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.