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Finding the Fourth Proportional to 581.84, 803.16 and 450.32

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Solution

The fourth proportional to 581.84, 803.16 and 450.32 is: 621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 803.16 = 450.32 : x
  2. Step 2: Convert to fraction form
    581.84/803.16 = 450.32/x
  3. Step 3: Cross multiply
    581.84x = 803.16 × 450.32
  4. Step 4: Simplify right side
    581.84x = 361,679.01
  5. Step 5: Solve for x
    x = 361,679.01/581.84
  6. Step 6: Final answer
    x = 621.61

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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.