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Finding the Fourth Proportional to 477.55, 658.75 and 302.59

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Solution

The fourth proportional to 477.55, 658.75 and 302.59 is: 417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 658.75 = 302.59 : x
  2. Step 2: Convert to fraction form
    477.55/658.75 = 302.59/x
  3. Step 3: Cross multiply
    477.55x = 658.75 × 302.59
  4. Step 4: Simplify right side
    477.55x = 199,331.16
  5. Step 5: Solve for x
    x = 199,331.16/477.55
  6. Step 6: Final answer
    x = 417.40

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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.