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Finding the Fourth Proportional to 529.98, 730.86 and 419.24

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Solution

The fourth proportional to 529.98, 730.86 and 419.24 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.98 : 730.86 = 419.24 : x
  2. Step 2: Convert to fraction form
    529.98/730.86 = 419.24/x
  3. Step 3: Cross multiply
    529.98x = 730.86 × 419.24
  4. Step 4: Simplify right side
    529.98x = 306,405.75
  5. Step 5: Solve for x
    x = 306,405.75/529.98
  6. Step 6: Final answer
    x = 578.15

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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.