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Finding the Fourth Proportional to 647.64, 893.06 and 458.76

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Solution

The fourth proportional to 647.64, 893.06 and 458.76 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 893.06 = 458.76 : x
  2. Step 2: Convert to fraction form
    647.64/893.06 = 458.76/x
  3. Step 3: Cross multiply
    647.64x = 893.06 × 458.76
  4. Step 4: Simplify right side
    647.64x = 409,700.21
  5. Step 5: Solve for x
    x = 409,700.21/647.64
  6. Step 6: Final answer
    x = 632.60

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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.