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Finding the Fourth Proportional to 430.56, 593.70 and 332.10

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Solution

The fourth proportional to 430.56, 593.70 and 332.10 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.56 : 593.70 = 332.10 : x
  2. Step 2: Convert to fraction form
    430.56/593.70 = 332.10/x
  3. Step 3: Cross multiply
    430.56x = 593.70 × 332.10
  4. Step 4: Simplify right side
    430.56x = 197,167.77
  5. Step 5: Solve for x
    x = 197,167.77/430.56
  6. Step 6: Final answer
    x = 457.93

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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.