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Finding the Fourth Proportional to 581.94, 803.16 and 361.13

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Solution

The fourth proportional to 581.94, 803.16 and 361.13 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 803.16 = 361.13 : x
  2. Step 2: Convert to fraction form
    581.94/803.16 = 361.13/x
  3. Step 3: Cross multiply
    581.94x = 803.16 × 361.13
  4. Step 4: Simplify right side
    581.94x = 290,041.16
  5. Step 5: Solve for x
    x = 290,041.16/581.94
  6. Step 6: Final answer
    x = 498.40

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Why These Related Problems?

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