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Finding the Fourth Proportional to 333.53, 497.82 and 313.01

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Solution

The fourth proportional to 333.53, 497.82 and 313.01 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.53 : 497.82 = 313.01 : x
  2. Step 2: Convert to fraction form
    333.53/497.82 = 313.01/x
  3. Step 3: Cross multiply
    333.53x = 497.82 × 313.01
  4. Step 4: Simplify right side
    333.53x = 155,822.64
  5. Step 5: Solve for x
    x = 155,822.64/333.53
  6. Step 6: Final answer
    x = 467.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.