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Finding the Fourth Proportional to 514.72, 710.08 and 304.91

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Solution

The fourth proportional to 514.72, 710.08 and 304.91 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.72 : 710.08 = 304.91 : x
  2. Step 2: Convert to fraction form
    514.72/710.08 = 304.91/x
  3. Step 3: Cross multiply
    514.72x = 710.08 × 304.91
  4. Step 4: Simplify right side
    514.72x = 216,510.49
  5. Step 5: Solve for x
    x = 216,510.49/514.72
  6. Step 6: Final answer
    x = 420.64

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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.