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Finding the Fourth Proportional to 600.40, 900.56 and 514.32

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Solution

The fourth proportional to 600.40, 900.56 and 514.32 is: 771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 900.56 = 514.32 : x
  2. Step 2: Convert to fraction form
    600.40/900.56 = 514.32/x
  3. Step 3: Cross multiply
    600.40x = 900.56 × 514.32
  4. Step 4: Simplify right side
    600.40x = 463,176.02
  5. Step 5: Solve for x
    x = 463,176.02/600.40
  6. Step 6: Final answer
    x = 771.45

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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.