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Finding the Fourth Proportional to 678.84, 936.90 and 430.32

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Solution

The fourth proportional to 678.84, 936.90 and 430.32 is: 593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 936.90 = 430.32 : x
  2. Step 2: Convert to fraction form
    678.84/936.90 = 430.32/x
  3. Step 3: Cross multiply
    678.84x = 936.90 × 430.32
  4. Step 4: Simplify right side
    678.84x = 403,166.81
  5. Step 5: Solve for x
    x = 403,166.81/678.84
  6. Step 6: Final answer
    x = 593.91

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1.5x scale

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.