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Finding the Fourth Proportional to 556.98, 833.58 and 419.70

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Solution

The fourth proportional to 556.98, 833.58 and 419.70 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 833.58 = 419.70 : x
  2. Step 2: Convert to fraction form
    556.98/833.58 = 419.70/x
  3. Step 3: Cross multiply
    556.98x = 833.58 × 419.70
  4. Step 4: Simplify right side
    556.98x = 349,853.53
  5. Step 5: Solve for x
    x = 349,853.53/556.98
  6. Step 6: Final answer
    x = 628.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.