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Finding the Fourth Proportional to 607.42, 837.23 and 430.16

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Solution

The fourth proportional to 607.42, 837.23 and 430.16 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.42 : 837.23 = 430.16 : x
  2. Step 2: Convert to fraction form
    607.42/837.23 = 430.16/x
  3. Step 3: Cross multiply
    607.42x = 837.23 × 430.16
  4. Step 4: Simplify right side
    607.42x = 360,139.75
  5. Step 5: Solve for x
    x = 360,139.75/607.42
  6. Step 6: Final answer
    x = 592.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.