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Finding the Fourth Proportional to 477.90, 659.54 and 345.07

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Solution

The fourth proportional to 477.90, 659.54 and 345.07 is: 476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 659.54 = 345.07 : x
  2. Step 2: Convert to fraction form
    477.90/659.54 = 345.07/x
  3. Step 3: Cross multiply
    477.90x = 659.54 × 345.07
  4. Step 4: Simplify right side
    477.90x = 227,587.47
  5. Step 5: Solve for x
    x = 227,587.47/477.90
  6. Step 6: Final answer
    x = 476.22

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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.