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Finding the Fourth Proportional to 657.64, 986.65 and 218.93

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Solution

The fourth proportional to 657.64, 986.65 and 218.93 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 986.65 = 218.93 : x
  2. Step 2: Convert to fraction form
    657.64/986.65 = 218.93/x
  3. Step 3: Cross multiply
    657.64x = 986.65 × 218.93
  4. Step 4: Simplify right side
    657.64x = 216,006.19
  5. Step 5: Solve for x
    x = 216,006.19/657.64
  6. Step 6: Final answer
    x = 328.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.