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Finding the Fourth Proportional to 630.40, 945.60 and 595.20

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Solution

The fourth proportional to 630.40, 945.60 and 595.20 is: 892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 945.60 = 595.20 : x
  2. Step 2: Convert to fraction form
    630.40/945.60 = 595.20/x
  3. Step 3: Cross multiply
    630.40x = 945.60 × 595.20
  4. Step 4: Simplify right side
    630.40x = 562,821.12
  5. Step 5: Solve for x
    x = 562,821.12/630.40
  6. Step 6: Final answer
    x = 892.80

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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.