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Finding the Fourth Proportional to 526.73, 728.57 and 430.74

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Solution

The fourth proportional to 526.73, 728.57 and 430.74 is: 595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.73 : 728.57 = 430.74 : x
  2. Step 2: Convert to fraction form
    526.73/728.57 = 430.74/x
  3. Step 3: Cross multiply
    526.73x = 728.57 × 430.74
  4. Step 4: Simplify right side
    526.73x = 313,822.09
  5. Step 5: Solve for x
    x = 313,822.09/526.73
  6. Step 6: Final answer
    x = 595.80

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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.