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Finding the Fourth Proportional to 586.46, 808.94 and 462.08

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Solution

The fourth proportional to 586.46, 808.94 and 462.08 is: 637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 808.94 = 462.08 : x
  2. Step 2: Convert to fraction form
    586.46/808.94 = 462.08/x
  3. Step 3: Cross multiply
    586.46x = 808.94 × 462.08
  4. Step 4: Simplify right side
    586.46x = 373,798.17
  5. Step 5: Solve for x
    x = 373,798.17/586.46
  6. Step 6: Final answer
    x = 637.38

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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.