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Finding the Fourth Proportional to 630.10, 945.63 and 436.45

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Solution

The fourth proportional to 630.10, 945.63 and 436.45 is: 655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.10 : 945.63 = 436.45 : x
  2. Step 2: Convert to fraction form
    630.10/945.63 = 436.45/x
  3. Step 3: Cross multiply
    630.10x = 945.63 × 436.45
  4. Step 4: Simplify right side
    630.10x = 412,721.40
  5. Step 5: Solve for x
    x = 412,721.40/630.10
  6. Step 6: Final answer
    x = 655.01

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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.