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Finding the Fourth Proportional to 810.40, 1,215.60 and 420.16

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Solution

The fourth proportional to 810.40, 1,215.60 and 420.16 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.40 : 1,215.60 = 420.16 : x
  2. Step 2: Convert to fraction form
    810.40/1,215.60 = 420.16/x
  3. Step 3: Cross multiply
    810.40x = 1,215.60 × 420.16
  4. Step 4: Simplify right side
    810.40x = 510,746.50
  5. Step 5: Solve for x
    x = 510,746.50/810.40
  6. Step 6: Final answer
    x = 630.24

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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.