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Finding the Fourth Proportional to 570.16, 851.16 and 508.64

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Solution

The fourth proportional to 570.16, 851.16 and 508.64 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 851.16 = 508.64 : x
  2. Step 2: Convert to fraction form
    570.16/851.16 = 508.64/x
  3. Step 3: Cross multiply
    570.16x = 851.16 × 508.64
  4. Step 4: Simplify right side
    570.16x = 432,931.48
  5. Step 5: Solve for x
    x = 432,931.48/570.16
  6. Step 6: Final answer
    x = 759.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.