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Finding the Fourth Proportional to 898.02, 1,347.33 and 313.20

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Solution

The fourth proportional to 898.02, 1,347.33 and 313.20 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.02 : 1,347.33 = 313.20 : x
  2. Step 2: Convert to fraction form
    898.02/1,347.33 = 313.20/x
  3. Step 3: Cross multiply
    898.02x = 1,347.33 × 313.20
  4. Step 4: Simplify right side
    898.02x = 421,984.93
  5. Step 5: Solve for x
    x = 421,984.93/898.02
  6. Step 6: Final answer
    x = 469.91

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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.