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Finding the Fourth Proportional to 467.51, 637.01 and 457.52

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Solution

The fourth proportional to 467.51, 637.01 and 457.52 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.51 : 637.01 = 457.52 : x
  2. Step 2: Convert to fraction form
    467.51/637.01 = 457.52/x
  3. Step 3: Cross multiply
    467.51x = 637.01 × 457.52
  4. Step 4: Simplify right side
    467.51x = 291,444.12
  5. Step 5: Solve for x
    x = 291,444.12/467.51
  6. Step 6: Final answer
    x = 623.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.