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Finding the Fourth Proportional to 532.16, 798.72 and 370.40

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Solution

The fourth proportional to 532.16, 798.72 and 370.40 is: 555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 798.72 = 370.40 : x
  2. Step 2: Convert to fraction form
    532.16/798.72 = 370.40/x
  3. Step 3: Cross multiply
    532.16x = 798.72 × 370.40
  4. Step 4: Simplify right side
    532.16x = 295,845.89
  5. Step 5: Solve for x
    x = 295,845.89/532.16
  6. Step 6: Final answer
    x = 555.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.