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Finding the Fourth Proportional to 515.02, 771.54 and 471.40

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Solution

The fourth proportional to 515.02, 771.54 and 471.40 is: 706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.02 : 771.54 = 471.40 : x
  2. Step 2: Convert to fraction form
    515.02/771.54 = 471.40/x
  3. Step 3: Cross multiply
    515.02x = 771.54 × 471.40
  4. Step 4: Simplify right side
    515.02x = 363,703.96
  5. Step 5: Solve for x
    x = 363,703.96/515.02
  6. Step 6: Final answer
    x = 706.19

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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.