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Finding the Fourth Proportional to 559.42, 841.04 and 457.45

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Solution

The fourth proportional to 559.42, 841.04 and 457.45 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.42 : 841.04 = 457.45 : x
  2. Step 2: Convert to fraction form
    559.42/841.04 = 457.45/x
  3. Step 3: Cross multiply
    559.42x = 841.04 × 457.45
  4. Step 4: Simplify right side
    559.42x = 384,733.75
  5. Step 5: Solve for x
    x = 384,733.75/559.42
  6. Step 6: Final answer
    x = 687.74

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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.