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Finding the Fourth Proportional to 692.16, 954.48 and 430.08

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Solution

The fourth proportional to 692.16, 954.48 and 430.08 is: 593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 954.48 = 430.08 : x
  2. Step 2: Convert to fraction form
    692.16/954.48 = 430.08/x
  3. Step 3: Cross multiply
    692.16x = 954.48 × 430.08
  4. Step 4: Simplify right side
    692.16x = 410,502.76
  5. Step 5: Solve for x
    x = 410,502.76/692.16
  6. Step 6: Final answer
    x = 593.07

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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.