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Finding the Fourth Proportional to 646.77, 973.70 and 442.65

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Solution

The fourth proportional to 646.77, 973.70 and 442.65 is: 666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 973.70 = 442.65 : x
  2. Step 2: Convert to fraction form
    646.77/973.70 = 442.65/x
  3. Step 3: Cross multiply
    646.77x = 973.70 × 442.65
  4. Step 4: Simplify right side
    646.77x = 431,008.31
  5. Step 5: Solve for x
    x = 431,008.31/646.77
  6. Step 6: Final answer
    x = 666.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.