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Finding the Fourth Proportional to 458.34, 631.71 and 407.45

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Solution

The fourth proportional to 458.34, 631.71 and 407.45 is: 561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 631.71 = 407.45 : x
  2. Step 2: Convert to fraction form
    458.34/631.71 = 407.45/x
  3. Step 3: Cross multiply
    458.34x = 631.71 × 407.45
  4. Step 4: Simplify right side
    458.34x = 257,387.08
  5. Step 5: Solve for x
    x = 257,387.08/458.34
  6. Step 6: Final answer
    x = 561.56

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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.