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Finding the Fourth Proportional to 532.01, 734.54 and 332.93

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Solution

The fourth proportional to 532.01, 734.54 and 332.93 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.01 : 734.54 = 332.93 : x
  2. Step 2: Convert to fraction form
    532.01/734.54 = 332.93/x
  3. Step 3: Cross multiply
    532.01x = 734.54 × 332.93
  4. Step 4: Simplify right side
    532.01x = 244,547.56
  5. Step 5: Solve for x
    x = 244,547.56/532.01
  6. Step 6: Final answer
    x = 459.67

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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.