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Finding the Fourth Proportional to 546.58, 752.54 and 509.32

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Solution

The fourth proportional to 546.58, 752.54 and 509.32 is: 701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.58 : 752.54 = 509.32 : x
  2. Step 2: Convert to fraction form
    546.58/752.54 = 509.32/x
  3. Step 3: Cross multiply
    546.58x = 752.54 × 509.32
  4. Step 4: Simplify right side
    546.58x = 383,284.93
  5. Step 5: Solve for x
    x = 383,284.93/546.58
  6. Step 6: Final answer
    x = 701.24

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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.