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Finding the Fourth Proportional to 558.81, 841.46 and 462.24

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Solution

The fourth proportional to 558.81, 841.46 and 462.24 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.81 : 841.46 = 462.24 : x
  2. Step 2: Convert to fraction form
    558.81/841.46 = 462.24/x
  3. Step 3: Cross multiply
    558.81x = 841.46 × 462.24
  4. Step 4: Simplify right side
    558.81x = 388,954.16
  5. Step 5: Solve for x
    x = 388,954.16/558.81
  6. Step 6: Final answer
    x = 696.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.