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Finding the Fourth Proportional to 353.01, 529.21 and 288.01

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Solution

The fourth proportional to 353.01, 529.21 and 288.01 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.01 : 529.21 = 288.01 : x
  2. Step 2: Convert to fraction form
    353.01/529.21 = 288.01/x
  3. Step 3: Cross multiply
    353.01x = 529.21 × 288.01
  4. Step 4: Simplify right side
    353.01x = 152,417.77
  5. Step 5: Solve for x
    x = 152,417.77/353.01
  6. Step 6: Final answer
    x = 431.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.