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Finding the Fourth Proportional to 581.80, 803.01 and 368.98

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Solution

The fourth proportional to 581.80, 803.01 and 368.98 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.80 : 803.01 = 368.98 : x
  2. Step 2: Convert to fraction form
    581.80/803.01 = 368.98/x
  3. Step 3: Cross multiply
    581.80x = 803.01 × 368.98
  4. Step 4: Simplify right side
    581.80x = 296,291.93
  5. Step 5: Solve for x
    x = 296,291.93/581.80
  6. Step 6: Final answer
    x = 509.27

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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.