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Finding the Fourth Proportional to 515.98, 712.10 and 295.03

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Solution

The fourth proportional to 515.98, 712.10 and 295.03 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.98 : 712.10 = 295.03 : x
  2. Step 2: Convert to fraction form
    515.98/712.10 = 295.03/x
  3. Step 3: Cross multiply
    515.98x = 712.10 × 295.03
  4. Step 4: Simplify right side
    515.98x = 210,085.83
  5. Step 5: Solve for x
    x = 210,085.83/515.98
  6. Step 6: Final answer
    x = 407.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.