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Finding the Fourth Proportional to 456.21, 630.08 and 407.00

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Solution

The fourth proportional to 456.21, 630.08 and 407.00 is: 562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.21 : 630.08 = 407.00 : x
  2. Step 2: Convert to fraction form
    456.21/630.08 = 407.00/x
  3. Step 3: Cross multiply
    456.21x = 630.08 × 407.00
  4. Step 4: Simplify right side
    456.21x = 256,443.63
  5. Step 5: Solve for x
    x = 256,443.63/456.21
  6. Step 6: Final answer
    x = 562.12

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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.