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Finding the Fourth Proportional to 810.45, 1,215.04 and 420.30

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Solution

The fourth proportional to 810.45, 1,215.04 and 420.30 is: 630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.45 : 1,215.04 = 420.30 : x
  2. Step 2: Convert to fraction form
    810.45/1,215.04 = 420.30/x
  3. Step 3: Cross multiply
    810.45x = 1,215.04 × 420.30
  4. Step 4: Simplify right side
    810.45x = 510,681.31
  5. Step 5: Solve for x
    x = 510,681.31/810.45
  6. Step 6: Final answer
    x = 630.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.